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Finding the Fourth Proportional to 98,371.90, 147,713.37 and 77,687.74

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Solution

The fourth proportional to 98,371.90, 147,713.37 and 77,687.74 is: 116,654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,371.90 : 147,713.37 = 77,687.74 : x
  2. Step 2: Convert to fraction form
    98,371.90/147,713.37 = 77,687.74/x
  3. Step 3: Cross multiply
    98,371.90x = 147,713.37 × 77,687.74
  4. Step 4: Simplify right side
    98,371.90x = 11,475,517,883.08
  5. Step 5: Solve for x
    x = 11,475,517,883.08/98,371.90
  6. Step 6: Final answer
    x = 116,654.43

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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.