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Finding the Fourth Proportional to 138,378.83, 207,633.86 and 82,329.66

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Solution

The fourth proportional to 138,378.83, 207,633.86 and 82,329.66 is: 123,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,378.83 : 207,633.86 = 82,329.66 : x
  2. Step 2: Convert to fraction form
    138,378.83/207,633.86 = 82,329.66/x
  3. Step 3: Cross multiply
    138,378.83x = 207,633.86 × 82,329.66
  4. Step 4: Simplify right side
    138,378.83x = 17,094,424,686.64
  5. Step 5: Solve for x
    x = 17,094,424,686.64/138,378.83
  6. Step 6: Final answer
    x = 123,533.53

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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.