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Finding the Fourth Proportional to 138,356.40, 207,534.60 and 68,226.60

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Solution

The fourth proportional to 138,356.40, 207,534.60 and 68,226.60 is: 102,339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,356.40 : 207,534.60 = 68,226.60 : x
  2. Step 2: Convert to fraction form
    138,356.40/207,534.60 = 68,226.60/x
  3. Step 3: Cross multiply
    138,356.40x = 207,534.60 × 68,226.60
  4. Step 4: Simplify right side
    138,356.40x = 14,159,380,140.36
  5. Step 5: Solve for x
    x = 14,159,380,140.36/138,356.40
  6. Step 6: Final answer
    x = 102,339.90

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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.