Finding the Fourth Proportional to 242,138,318,103.68, 334,161,030,555.90 and 139,255,518,106.06
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Solution
The fourth proportional to 242,138,318,103.68, 334,161,030,555.90 and 139,255,518,106.06 is: 192,178,453,230.16
Step by Step Solution
- Step 1: Write the proportion equation
242,138,318,103.68 : 334,161,030,555.90 = 139,255,518,106.06 : x - Step 2: Convert to fraction form
242,138,318,103.68/334,161,030,555.90 = 139,255,518,106.06/x - Step 3: Cross multiply
242,138,318,103.68x = 334,161,030,555.90 × 139,255,518,106.06 - Step 4: Simplify right side
242,138,318,103.68x = 46,533,767,440,916,801,388,544 - Step 5: Solve for x
x = 46,533,767,440,916,801,388,544/242,138,318,103.68 - Step 6: Final answer
x = 192,178,453,230.16
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.