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Finding the Fourth Proportional to 109,591.20, 164,438.80 and 75,909.01

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Solution

The fourth proportional to 109,591.20, 164,438.80 and 75,909.01 is: 113,899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,591.20 : 164,438.80 = 75,909.01 : x
  2. Step 2: Convert to fraction form
    109,591.20/164,438.80 = 75,909.01/x
  3. Step 3: Cross multiply
    109,591.20x = 164,438.80 × 75,909.01
  4. Step 4: Simplify right side
    109,591.20x = 12,482,386,513.59
  5. Step 5: Solve for x
    x = 12,482,386,513.59/109,591.20
  6. Step 6: Final answer
    x = 113,899.53

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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.