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Finding the Fourth Proportional to 100,178.88, 138,237.28 and 59,884.64

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Solution

The fourth proportional to 100,178.88, 138,237.28 and 59,884.64 is: 82,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,178.88 : 138,237.28 = 59,884.64 : x
  2. Step 2: Convert to fraction form
    100,178.88/138,237.28 = 59,884.64/x
  3. Step 3: Cross multiply
    100,178.88x = 138,237.28 × 59,884.64
  4. Step 4: Simplify right side
    100,178.88x = 8,278,289,747.38
  5. Step 5: Solve for x
    x = 8,278,289,747.38/100,178.88
  6. Step 6: Final answer
    x = 82,635.08

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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.