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Finding the Fourth Proportional to 121,001.52, 181,502.28 and 37,902

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Solution

The fourth proportional to 121,001.52, 181,502.28 and 37,902 is: 56,853

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,001.52 : 181,502.28 = 37,902 : x
  2. Step 2: Convert to fraction form
    121,001.52/181,502.28 = 37,902/x
  3. Step 3: Cross multiply
    121,001.52x = 181,502.28 × 37,902
  4. Step 4: Simplify right side
    121,001.52x = 6,879,299,416.56
  5. Step 5: Solve for x
    x = 6,879,299,416.56/121,001.52
  6. Step 6: Final answer
    x = 56,853

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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.