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Finding the Fourth Proportional to 206,968.17, 310,192.55 and 88,500.20

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Solution

The fourth proportional to 206,968.17, 310,192.55 and 88,500.20 is: 132,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,968.17 : 310,192.55 = 88,500.20 : x
  2. Step 2: Convert to fraction form
    206,968.17/310,192.55 = 88,500.20/x
  3. Step 3: Cross multiply
    206,968.17x = 310,192.55 × 88,500.20
  4. Step 4: Simplify right side
    206,968.17x = 27,452,103,793.63
  5. Step 5: Solve for x
    x = 27,452,103,793.63/206,968.17
  6. Step 6: Final answer
    x = 132,639.25

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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.