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Finding the Fourth Proportional to 98,463.87, 147,659.33 and 77,444.78

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Solution

The fourth proportional to 98,463.87, 147,659.33 and 77,444.78 is: 116,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,463.87 : 147,659.33 = 77,444.78 : x
  2. Step 2: Convert to fraction form
    98,463.87/147,659.33 = 77,444.78/x
  3. Step 3: Cross multiply
    98,463.87x = 147,659.33 × 77,444.78
  4. Step 4: Simplify right side
    98,463.87x = 11,435,443,201.28
  5. Step 5: Solve for x
    x = 11,435,443,201.28/98,463.87
  6. Step 6: Final answer
    x = 116,138.47

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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.