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Finding the Fourth Proportional to 102,906.56, 141,874.92 and 74,202.20

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Solution

The fourth proportional to 102,906.56, 141,874.92 and 74,202.20 is: 102,300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,906.56 : 141,874.92 = 74,202.20 : x
  2. Step 2: Convert to fraction form
    102,906.56/141,874.92 = 74,202.20/x
  3. Step 3: Cross multiply
    102,906.56x = 141,874.92 × 74,202.20
  4. Step 4: Simplify right side
    102,906.56x = 10,527,431,188.82
  5. Step 5: Solve for x
    x = 10,527,431,188.82/102,906.56
  6. Step 6: Final answer
    x = 102,300.88

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1.5x scale

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.