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Finding the Fourth Proportional to 109,909.70, 164,864.55 and 80,385.20

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Solution

The fourth proportional to 109,909.70, 164,864.55 and 80,385.20 is: 120,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,909.70 : 164,864.55 = 80,385.20 : x
  2. Step 2: Convert to fraction form
    109,909.70/164,864.55 = 80,385.20/x
  3. Step 3: Cross multiply
    109,909.70x = 164,864.55 × 80,385.20
  4. Step 4: Simplify right side
    109,909.70x = 13,252,669,824.66
  5. Step 5: Solve for x
    x = 13,252,669,824.66/109,909.70
  6. Step 6: Final answer
    x = 120,577.80

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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.