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Finding the Fourth Proportional to 206,639.60, 309,701.10 and 88,172.60

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Solution

The fourth proportional to 206,639.60, 309,701.10 and 88,172.60 is: 132,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,639.60 : 309,701.10 = 88,172.60 : x
  2. Step 2: Convert to fraction form
    206,639.60/309,701.10 = 88,172.60/x
  3. Step 3: Cross multiply
    206,639.60x = 309,701.10 × 88,172.60
  4. Step 4: Simplify right side
    206,639.60x = 27,307,151,209.86
  5. Step 5: Solve for x
    x = 27,307,151,209.86/206,639.60
  6. Step 6: Final answer
    x = 132,148.68

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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.