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Finding the Fourth Proportional to 159,419.91, 239,129.46 and 109,348.14

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Solution

The fourth proportional to 159,419.91, 239,129.46 and 109,348.14 is: 164,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,419.91 : 239,129.46 = 109,348.14 : x
  2. Step 2: Convert to fraction form
    159,419.91/239,129.46 = 109,348.14/x
  3. Step 3: Cross multiply
    159,419.91x = 239,129.46 × 109,348.14
  4. Step 4: Simplify right side
    159,419.91x = 26,148,361,670.20
  5. Step 5: Solve for x
    x = 26,148,361,670.20/159,419.91
  6. Step 6: Final answer
    x = 164,021.93

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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.