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Finding the Fourth Proportional to 98,710.38, 147,999.96 and 54,358.02

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Solution

The fourth proportional to 98,710.38, 147,999.96 and 54,358.02 is: 81,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,710.38 : 147,999.96 = 54,358.02 : x
  2. Step 2: Convert to fraction form
    98,710.38/147,999.96 = 54,358.02/x
  3. Step 3: Cross multiply
    98,710.38x = 147,999.96 × 54,358.02
  4. Step 4: Simplify right side
    98,710.38x = 8,044,984,785.68
  5. Step 5: Solve for x
    x = 8,044,984,785.68/98,710.38
  6. Step 6: Final answer
    x = 81,500.90

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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.