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Finding the Fourth Proportional to 121,431.52, 182,147.28 and 38,332

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Solution

The fourth proportional to 121,431.52, 182,147.28 and 38,332 is: 57,498

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,431.52 : 182,147.28 = 38,332 : x
  2. Step 2: Convert to fraction form
    121,431.52/182,147.28 = 38,332/x
  3. Step 3: Cross multiply
    121,431.52x = 182,147.28 × 38,332
  4. Step 4: Simplify right side
    121,431.52x = 6,982,069,536.96
  5. Step 5: Solve for x
    x = 6,982,069,536.96/121,431.52
  6. Step 6: Final answer
    x = 57,498

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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.