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Finding the Fourth Proportional to 100,074, 138,102.66 and 54,752.52

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Solution

The fourth proportional to 100,074, 138,102.66 and 54,752.52 is: 75,558.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,074 : 138,102.66 = 54,752.52 : x
  2. Step 2: Convert to fraction form
    100,074/138,102.66 = 54,752.52/x
  3. Step 3: Cross multiply
    100,074x = 138,102.66 × 54,752.52
  4. Step 4: Simplify right side
    100,074x = 7,561,468,653.70
  5. Step 5: Solve for x
    x = 7,561,468,653.70/100,074
  6. Step 6: Final answer
    x = 75,558.77

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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.