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Finding the Fourth Proportional to 138,041.80, 207,281.40 and 100,862.80

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Solution

The fourth proportional to 138,041.80, 207,281.40 and 100,862.80 is: 151,454.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,041.80 : 207,281.40 = 100,862.80 : x
  2. Step 2: Convert to fraction form
    138,041.80/207,281.40 = 100,862.80/x
  3. Step 3: Cross multiply
    138,041.80x = 207,281.40 × 100,862.80
  4. Step 4: Simplify right side
    138,041.80x = 20,906,982,391.92
  5. Step 5: Solve for x
    x = 20,906,982,391.92/138,041.80
  6. Step 6: Final answer
    x = 151,454.00

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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.