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Finding the Fourth Proportional to 109,471.80, 164,207.70 and 75,646.20

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Solution

The fourth proportional to 109,471.80, 164,207.70 and 75,646.20 is: 113,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,471.80 : 164,207.70 = 75,646.20 : x
  2. Step 2: Convert to fraction form
    109,471.80/164,207.70 = 75,646.20/x
  3. Step 3: Cross multiply
    109,471.80x = 164,207.70 × 75,646.20
  4. Step 4: Simplify right side
    109,471.80x = 12,421,688,515.74
  5. Step 5: Solve for x
    x = 12,421,688,515.74/109,471.80
  6. Step 6: Final answer
    x = 113,469.30

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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.