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Finding the Fourth Proportional to 138,361.40, 207,542.16 and 106,817.52

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Solution

The fourth proportional to 138,361.40, 207,542.16 and 106,817.52 is: 160,226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,361.40 : 207,542.16 = 106,817.52 : x
  2. Step 2: Convert to fraction form
    138,361.40/207,542.16 = 106,817.52/x
  3. Step 3: Cross multiply
    138,361.40x = 207,542.16 × 106,817.52
  4. Step 4: Simplify right side
    138,361.40x = 22,169,138,826.64
  5. Step 5: Solve for x
    x = 22,169,138,826.64/138,361.40
  6. Step 6: Final answer
    x = 160,226.33

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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.