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Finding the Fourth Proportional to 98,478, 147,593.76 and 42,251.76

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Solution

The fourth proportional to 98,478, 147,593.76 and 42,251.76 is: 63,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,478 : 147,593.76 = 42,251.76 : x
  2. Step 2: Convert to fraction form
    98,478/147,593.76 = 42,251.76/x
  3. Step 3: Cross multiply
    98,478x = 147,593.76 × 42,251.76
  4. Step 4: Simplify right side
    98,478x = 6,236,096,125.02
  5. Step 5: Solve for x
    x = 6,236,096,125.02/98,478
  6. Step 6: Final answer
    x = 63,324.76

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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.