Finding the Fourth Proportional to 102,106,782.50, 140,908,259.14 and 55,697,242.82
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Solution
The fourth proportional to 102,106,782.50, 140,908,259.14 and 55,697,242.82 is: 76,862,685.63
Step by Step Solution
- Step 1: Write the proportion equation
102,106,782.50 : 140,908,259.14 = 55,697,242.82 : x - Step 2: Convert to fraction form
102,106,782.50/140,908,259.14 = 55,697,242.82/x - Step 3: Cross multiply
102,106,782.50x = 140,908,259.14 × 55,697,242.82 - Step 4: Simplify right side
102,106,782.50x = 7,848,201,523,820,279 - Step 5: Solve for x
x = 7,848,201,523,820,279/102,106,782.50 - Step 6: Final answer
x = 76,862,685.63
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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.