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Finding the Fourth Proportional to 138,366.63, 207,615.56 and 82,317.47

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Solution

The fourth proportional to 138,366.63, 207,615.56 and 82,317.47 is: 123,515.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,366.63 : 207,615.56 = 82,317.47 : x
  2. Step 2: Convert to fraction form
    138,366.63/207,615.56 = 82,317.47/x
  3. Step 3: Cross multiply
    138,366.63x = 207,615.56 × 82,317.47
  4. Step 4: Simplify right side
    138,366.63x = 17,090,386,182.17
  5. Step 5: Solve for x
    x = 17,090,386,182.17/138,366.63
  6. Step 6: Final answer
    x = 123,515.23

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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.