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Finding the Fourth Proportional to 71,884.80, 107,790.38 and 38,632.86

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Solution

The fourth proportional to 71,884.80, 107,790.38 and 38,632.86 is: 57,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,884.80 : 107,790.38 = 38,632.86 : x
  2. Step 2: Convert to fraction form
    71,884.80/107,790.38 = 38,632.86/x
  3. Step 3: Cross multiply
    71,884.80x = 107,790.38 × 38,632.86
  4. Step 4: Simplify right side
    71,884.80x = 4,164,250,659.89
  5. Step 5: Solve for x
    x = 4,164,250,659.89/71,884.80
  6. Step 6: Final answer
    x = 57,929.50

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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.