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Finding the Fourth Proportional to 161,456.71, 242,239.79 and 71,487.04

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Solution

The fourth proportional to 161,456.71, 242,239.79 and 71,487.04 is: 107,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,456.71 : 242,239.79 = 71,487.04 : x
  2. Step 2: Convert to fraction form
    161,456.71/242,239.79 = 71,487.04/x
  3. Step 3: Cross multiply
    161,456.71x = 242,239.79 × 71,487.04
  4. Step 4: Simplify right side
    161,456.71x = 17,317,004,828.66
  5. Step 5: Solve for x
    x = 17,317,004,828.66/161,456.71
  6. Step 6: Final answer
    x = 107,254.78

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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.