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Finding the Fourth Proportional to 150,519, 207,729.18 and 83,463.96

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Solution

The fourth proportional to 150,519, 207,729.18 and 83,463.96 is: 115,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,519 : 207,729.18 = 83,463.96 : x
  2. Step 2: Convert to fraction form
    150,519/207,729.18 = 83,463.96/x
  3. Step 3: Cross multiply
    150,519x = 207,729.18 × 83,463.96
  4. Step 4: Simplify right side
    150,519x = 17,337,899,970.35
  5. Step 5: Solve for x
    x = 17,337,899,970.35/150,519
  6. Step 6: Final answer
    x = 115,187.45

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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.