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Finding the Fourth Proportional to 109,909.60, 164,809.20 and 53,753.92

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Solution

The fourth proportional to 109,909.60, 164,809.20 and 53,753.92 is: 80,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,909.60 : 164,809.20 = 53,753.92 : x
  2. Step 2: Convert to fraction form
    109,909.60/164,809.20 = 53,753.92/x
  3. Step 3: Cross multiply
    109,909.60x = 164,809.20 × 53,753.92
  4. Step 4: Simplify right side
    109,909.60x = 8,859,140,552.06
  5. Step 5: Solve for x
    x = 8,859,140,552.06/109,909.60
  6. Step 6: Final answer
    x = 80,603.88

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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.