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Finding the Fourth Proportional to 138,801.70, 208,202.55 and 75,816.10

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Solution

The fourth proportional to 138,801.70, 208,202.55 and 75,816.10 is: 113,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,801.70 : 208,202.55 = 75,816.10 : x
  2. Step 2: Convert to fraction form
    138,801.70/208,202.55 = 75,816.10/x
  3. Step 3: Cross multiply
    138,801.70x = 208,202.55 × 75,816.10
  4. Step 4: Simplify right side
    138,801.70x = 15,785,105,351.06
  5. Step 5: Solve for x
    x = 15,785,105,351.06/138,801.70
  6. Step 6: Final answer
    x = 113,724.15

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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.