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Finding the Fourth Proportional to 86,414.40, 129,591.90 and 42,012.54

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Solution

The fourth proportional to 86,414.40, 129,591.90 and 42,012.54 is: 63,004.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,414.40 : 129,591.90 = 42,012.54 : x
  2. Step 2: Convert to fraction form
    86,414.40/129,591.90 = 42,012.54/x
  3. Step 3: Cross multiply
    86,414.40x = 129,591.90 × 42,012.54
  4. Step 4: Simplify right side
    86,414.40x = 5,444,484,882.43
  5. Step 5: Solve for x
    x = 5,444,484,882.43/86,414.40
  6. Step 6: Final answer
    x = 63,004.37

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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.