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Finding the Fourth Proportional to 123,378.50, 170,262.42 and 66,789.92

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Solution

The fourth proportional to 123,378.50, 170,262.42 and 66,789.92 is: 92,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,378.50 : 170,262.42 = 66,789.92 : x
  2. Step 2: Convert to fraction form
    123,378.50/170,262.42 = 66,789.92/x
  3. Step 3: Cross multiply
    123,378.50x = 170,262.42 × 66,789.92
  4. Step 4: Simplify right side
    123,378.50x = 11,371,813,410.81
  5. Step 5: Solve for x
    x = 11,371,813,410.81/123,378.50
  6. Step 6: Final answer
    x = 92,170.14

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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.