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Finding the Fourth Proportional to 150,350, 207,489.84 and 83,282

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Solution

The fourth proportional to 150,350, 207,489.84 and 83,282 is: 114,932.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,350 : 207,489.84 = 83,282 : x
  2. Step 2: Convert to fraction form
    150,350/207,489.84 = 83,282/x
  3. Step 3: Cross multiply
    150,350x = 207,489.84 × 83,282
  4. Step 4: Simplify right side
    150,350x = 17,280,168,854.88
  5. Step 5: Solve for x
    x = 17,280,168,854.88/150,350
  6. Step 6: Final answer
    x = 114,932.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.