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Finding the Fourth Proportional to 206,535.60, 309,835.68 and 88,207.56

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Solution

The fourth proportional to 206,535.60, 309,835.68 and 88,207.56 is: 132,325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,535.60 : 309,835.68 = 88,207.56 : x
  2. Step 2: Convert to fraction form
    206,535.60/309,835.68 = 88,207.56/x
  3. Step 3: Cross multiply
    206,535.60x = 309,835.68 × 88,207.56
  4. Step 4: Simplify right side
    206,535.60x = 27,329,849,333.74
  5. Step 5: Solve for x
    x = 27,329,849,333.74/206,535.60
  6. Step 6: Final answer
    x = 132,325.13

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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.