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Finding the Fourth Proportional to 100,089.28, 138,122.03 and 54,766.74

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Solution

The fourth proportional to 100,089.28, 138,122.03 and 54,766.74 is: 75,577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,089.28 : 138,122.03 = 54,766.74 : x
  2. Step 2: Convert to fraction form
    100,089.28/138,122.03 = 54,766.74/x
  3. Step 3: Cross multiply
    100,089.28x = 138,122.03 × 54,766.74
  4. Step 4: Simplify right side
    100,089.28x = 7,564,493,031.45
  5. Step 5: Solve for x
    x = 7,564,493,031.45/100,089.28
  6. Step 6: Final answer
    x = 75,577.46

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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.