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Finding the Fourth Proportional to 121,920.69, 182,887.16 and 38,821.17

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Solution

The fourth proportional to 121,920.69, 182,887.16 and 38,821.17 is: 58,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,920.69 : 182,887.16 = 38,821.17 : x
  2. Step 2: Convert to fraction form
    121,920.69/182,887.16 = 38,821.17/x
  3. Step 3: Cross multiply
    121,920.69x = 182,887.16 × 38,821.17
  4. Step 4: Simplify right side
    121,920.69x = 7,099,893,335.07
  5. Step 5: Solve for x
    x = 7,099,893,335.07/121,920.69
  6. Step 6: Final answer
    x = 58,233.70

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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.