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Finding the Fourth Proportional to 150,349.50, 207,489.15 and 83,281.50

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Solution

The fourth proportional to 150,349.50, 207,489.15 and 83,281.50 is: 114,932.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,349.50 : 207,489.15 = 83,281.50 : x
  2. Step 2: Convert to fraction form
    150,349.50/207,489.15 = 83,281.50/x
  3. Step 3: Cross multiply
    150,349.50x = 207,489.15 × 83,281.50
  4. Step 4: Simplify right side
    150,349.50x = 17,280,007,645.73
  5. Step 5: Solve for x
    x = 17,280,007,645.73/150,349.50
  6. Step 6: Final answer
    x = 114,932.26

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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.