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Finding the Fourth Proportional to 138,617.26, 207,895.24 and 38,750.60

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Solution

The fourth proportional to 138,617.26, 207,895.24 and 38,750.60 is: 58,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,617.26 : 207,895.24 = 38,750.60 : x
  2. Step 2: Convert to fraction form
    138,617.26/207,895.24 = 38,750.60/x
  3. Step 3: Cross multiply
    138,617.26x = 207,895.24 × 38,750.60
  4. Step 4: Simplify right side
    138,617.26x = 8,056,065,855.32
  5. Step 5: Solve for x
    x = 8,056,065,855.32/138,617.26
  6. Step 6: Final answer
    x = 58,117.34

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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.