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Finding the Fourth Proportional to 81,101.76, 121,668.12 and 24,931.86

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Solution

The fourth proportional to 81,101.76, 121,668.12 and 24,931.86 is: 37,402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,101.76 : 121,668.12 = 24,931.86 : x
  2. Step 2: Convert to fraction form
    81,101.76/121,668.12 = 24,931.86/x
  3. Step 3: Cross multiply
    81,101.76x = 121,668.12 × 24,931.86
  4. Step 4: Simplify right side
    81,101.76x = 3,033,412,534.30
  5. Step 5: Solve for x
    x = 3,033,412,534.30/81,101.76
  6. Step 6: Final answer
    x = 37,402.55

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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.