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Finding the Fourth Proportional to 100,098.40, 138,135.79 and 54,776.40

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Solution

The fourth proportional to 100,098.40, 138,135.79 and 54,776.40 is: 75,591.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,098.40 : 138,135.79 = 54,776.40 : x
  2. Step 2: Convert to fraction form
    100,098.40/138,135.79 = 54,776.40/x
  3. Step 3: Cross multiply
    100,098.40x = 138,135.79 × 54,776.40
  4. Step 4: Simplify right side
    100,098.40x = 7,566,581,287.36
  5. Step 5: Solve for x
    x = 7,566,581,287.36/100,098.40
  6. Step 6: Final answer
    x = 75,591.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.