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Finding the Fourth Proportional to 159,695.40, 239,543.10 and 75,427.86

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Solution

The fourth proportional to 159,695.40, 239,543.10 and 75,427.86 is: 113,141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,695.40 : 239,543.10 = 75,427.86 : x
  2. Step 2: Convert to fraction form
    159,695.40/239,543.10 = 75,427.86/x
  3. Step 3: Cross multiply
    159,695.40x = 239,543.10 × 75,427.86
  4. Step 4: Simplify right side
    159,695.40x = 18,068,223,410.77
  5. Step 5: Solve for x
    x = 18,068,223,410.77/159,695.40
  6. Step 6: Final answer
    x = 113,141.79

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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.