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Finding the Fourth Proportional to 159,311.76, 238,897.53 and 84,414.64

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Solution

The fourth proportional to 159,311.76, 238,897.53 and 84,414.64 is: 126,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,311.76 : 238,897.53 = 84,414.64 : x
  2. Step 2: Convert to fraction form
    159,311.76/238,897.53 = 84,414.64/x
  3. Step 3: Cross multiply
    159,311.76x = 238,897.53 × 84,414.64
  4. Step 4: Simplify right side
    159,311.76x = 20,166,448,569.77
  5. Step 5: Solve for x
    x = 20,166,448,569.77/159,311.76
  6. Step 6: Final answer
    x = 126,584.81

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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.