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Finding the Fourth Proportional to 142,422.76, 213,568.36 and 52,442.87

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Solution

The fourth proportional to 142,422.76, 213,568.36 and 52,442.87 is: 78,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,422.76 : 213,568.36 = 52,442.87 : x
  2. Step 2: Convert to fraction form
    142,422.76/213,568.36 = 52,442.87/x
  3. Step 3: Cross multiply
    142,422.76x = 213,568.36 × 52,442.87
  4. Step 4: Simplify right side
    142,422.76x = 11,200,138,142.41
  5. Step 5: Solve for x
    x = 11,200,138,142.41/142,422.76
  6. Step 6: Final answer
    x = 78,640.09

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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.