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Finding the Fourth Proportional to 138,442.70, 207,653.67 and 43,676

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Solution

The fourth proportional to 138,442.70, 207,653.67 and 43,676 is: 65,510.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,442.70 : 207,653.67 = 43,676 : x
  2. Step 2: Convert to fraction form
    138,442.70/207,653.67 = 43,676/x
  3. Step 3: Cross multiply
    138,442.70x = 207,653.67 × 43,676
  4. Step 4: Simplify right side
    138,442.70x = 9,069,481,690.92
  5. Step 5: Solve for x
    x = 9,069,481,690.92/138,442.70
  6. Step 6: Final answer
    x = 65,510.73

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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.