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Finding the Fourth Proportional to 98,550.54, 135,839.97 and 77,002.61

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Solution

The fourth proportional to 98,550.54, 135,839.97 and 77,002.61 is: 106,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,550.54 : 135,839.97 = 77,002.61 : x
  2. Step 2: Convert to fraction form
    98,550.54/135,839.97 = 77,002.61/x
  3. Step 3: Cross multiply
    98,550.54x = 135,839.97 × 77,002.61
  4. Step 4: Simplify right side
    98,550.54x = 10,460,031,553.12
  5. Step 5: Solve for x
    x = 10,460,031,553.12/98,550.54
  6. Step 6: Final answer
    x = 106,138.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.