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Finding the Fourth Proportional to 81,257.67, 121,784.93 and 39,129.87

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Solution

The fourth proportional to 81,257.67, 121,784.93 and 39,129.87 is: 58,645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,257.67 : 121,784.93 = 39,129.87 : x
  2. Step 2: Convert to fraction form
    81,257.67/121,784.93 = 39,129.87/x
  3. Step 3: Cross multiply
    81,257.67x = 121,784.93 × 39,129.87
  4. Step 4: Simplify right side
    81,257.67x = 4,765,428,478.86
  5. Step 5: Solve for x
    x = 4,765,428,478.86/81,257.67
  6. Step 6: Final answer
    x = 58,645.89

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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.