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Finding the Fourth Proportional to 100,200.78, 138,269.89 and 54,871.45

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Solution

The fourth proportional to 100,200.78, 138,269.89 and 54,871.45 is: 75,718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200.78 : 138,269.89 = 54,871.45 : x
  2. Step 2: Convert to fraction form
    100,200.78/138,269.89 = 54,871.45/x
  3. Step 3: Cross multiply
    100,200.78x = 138,269.89 × 54,871.45
  4. Step 4: Simplify right side
    100,200.78x = 7,587,069,158.79
  5. Step 5: Solve for x
    x = 7,587,069,158.79/100,200.78
  6. Step 6: Final answer
    x = 75,718.66

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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.