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Finding the Fourth Proportional to 161,502.73, 242,254.17 and 72,652.45

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Solution

The fourth proportional to 161,502.73, 242,254.17 and 72,652.45 is: 108,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,502.73 : 242,254.17 = 72,652.45 : x
  2. Step 2: Convert to fraction form
    161,502.73/242,254.17 = 72,652.45/x
  3. Step 3: Cross multiply
    161,502.73x = 242,254.17 × 72,652.45
  4. Step 4: Simplify right side
    161,502.73x = 17,600,358,973.22
  5. Step 5: Solve for x
    x = 17,600,358,973.22/161,502.73
  6. Step 6: Final answer
    x = 108,978.71

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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.