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Finding the Fourth Proportional to 121,797, 182,724.66 and 38,691

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Solution

The fourth proportional to 121,797, 182,724.66 and 38,691 is: 58,045.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,797 : 182,724.66 = 38,691 : x
  2. Step 2: Convert to fraction form
    121,797/182,724.66 = 38,691/x
  3. Step 3: Cross multiply
    121,797x = 182,724.66 × 38,691
  4. Step 4: Simplify right side
    121,797x = 7,069,799,820.06
  5. Step 5: Solve for x
    x = 7,069,799,820.06/121,797
  6. Step 6: Final answer
    x = 58,045.76

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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.