Finding the Fourth Proportional to 161,838,006.30, 242,757,009.45 and 107,312,159.70
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Solution
The fourth proportional to 161,838,006.30, 242,757,009.45 and 107,312,159.70 is: 160,968,239.55
Step by Step Solution
- Step 1: Write the proportion equation
161,838,006.30 : 242,757,009.45 = 107,312,159.70 : x - Step 2: Convert to fraction form
161,838,006.30/242,757,009.45 = 107,312,159.70/x - Step 3: Cross multiply
161,838,006.30x = 242,757,009.45 × 107,312,159.70 - Step 4: Simplify right side
161,838,006.30x = 26,050,778,966,392,808 - Step 5: Solve for x
x = 26,050,778,966,392,808/161,838,006.30 - Step 6: Final answer
x = 160,968,239.55
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.