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Finding the Fourth Proportional to 159,803.76, 239,532.24 and 78,806.88

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Solution

The fourth proportional to 159,803.76, 239,532.24 and 78,806.88 is: 118,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,803.76 : 239,532.24 = 78,806.88 : x
  2. Step 2: Convert to fraction form
    159,803.76/239,532.24 = 78,806.88/x
  3. Step 3: Cross multiply
    159,803.76x = 239,532.24 × 78,806.88
  4. Step 4: Simplify right side
    159,803.76x = 18,876,788,493.81
  5. Step 5: Solve for x
    x = 18,876,788,493.81/159,803.76
  6. Step 6: Final answer
    x = 118,124.81

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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.