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Finding the Fourth Proportional to 72,581.76, 108,780.48 and 39,772.80

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Solution

The fourth proportional to 72,581.76, 108,780.48 and 39,772.80 is: 59,608.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,581.76 : 108,780.48 = 39,772.80 : x
  2. Step 2: Convert to fraction form
    72,581.76/108,780.48 = 39,772.80/x
  3. Step 3: Cross multiply
    72,581.76x = 108,780.48 × 39,772.80
  4. Step 4: Simplify right side
    72,581.76x = 4,326,504,274.94
  5. Step 5: Solve for x
    x = 4,326,504,274.94/72,581.76
  6. Step 6: Final answer
    x = 59,608.70

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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.