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Finding the Fourth Proportional to 138,355.70, 207,064.38 and 85,081.12

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Solution

The fourth proportional to 138,355.70, 207,064.38 and 85,081.12 is: 127,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,355.70 : 207,064.38 = 85,081.12 : x
  2. Step 2: Convert to fraction form
    138,355.70/207,064.38 = 85,081.12/x
  3. Step 3: Cross multiply
    138,355.70x = 207,064.38 × 85,081.12
  4. Step 4: Simplify right side
    138,355.70x = 17,617,269,163.90
  5. Step 5: Solve for x
    x = 17,617,269,163.90/138,355.70
  6. Step 6: Final answer
    x = 127,333.17

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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.