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Finding the Fourth Proportional to 142,416.92, 213,753.78 and 75,912.44

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Solution

The fourth proportional to 142,416.92, 213,753.78 and 75,912.44 is: 113,937.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,416.92 : 213,753.78 = 75,912.44 : x
  2. Step 2: Convert to fraction form
    142,416.92/213,753.78 = 75,912.44/x
  3. Step 3: Cross multiply
    142,416.92x = 213,753.78 × 75,912.44
  4. Step 4: Simplify right side
    142,416.92x = 16,226,570,999.02
  5. Step 5: Solve for x
    x = 16,226,570,999.02/142,416.92
  6. Step 6: Final answer
    x = 113,937.10

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1.5x scale

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.