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Finding the Fourth Proportional to 100,178.61, 138,248.18 and 54,855.87

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Solution

The fourth proportional to 100,178.61, 138,248.18 and 54,855.87 is: 75,702.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,178.61 : 138,248.18 = 54,855.87 : x
  2. Step 2: Convert to fraction form
    100,178.61/138,248.18 = 54,855.87/x
  3. Step 3: Cross multiply
    100,178.61x = 138,248.18 × 54,855.87
  4. Step 4: Simplify right side
    100,178.61x = 7,583,723,224.30
  5. Step 5: Solve for x
    x = 7,583,723,224.30/100,178.61
  6. Step 6: Final answer
    x = 75,702.02

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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.