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Finding the Fourth Proportional to 72,865.20, 109,267.65 and 25,470.30

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Solution

The fourth proportional to 72,865.20, 109,267.65 and 25,470.30 is: 38,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,865.20 : 109,267.65 = 25,470.30 : x
  2. Step 2: Convert to fraction form
    72,865.20/109,267.65 = 25,470.30/x
  3. Step 3: Cross multiply
    72,865.20x = 109,267.65 × 25,470.30
  4. Step 4: Simplify right side
    72,865.20x = 2,783,079,825.80
  5. Step 5: Solve for x
    x = 2,783,079,825.80/72,865.20
  6. Step 6: Final answer
    x = 38,194.91

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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.