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Finding the Fourth Proportional to 138,963.81, 208,724.66 and 82,913.30

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Solution

The fourth proportional to 138,963.81, 208,724.66 and 82,913.30 is: 124,536.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,963.81 : 208,724.66 = 82,913.30 : x
  2. Step 2: Convert to fraction form
    138,963.81/208,724.66 = 82,913.30/x
  3. Step 3: Cross multiply
    138,963.81x = 208,724.66 × 82,913.30
  4. Step 4: Simplify right side
    138,963.81x = 17,306,050,351.98
  5. Step 5: Solve for x
    x = 17,306,050,351.98/138,963.81
  6. Step 6: Final answer
    x = 124,536.38

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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.