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Finding the Fourth Proportional to 100,597.38, 138,823.65 and 54,656.61

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Solution

The fourth proportional to 100,597.38, 138,823.65 and 54,656.61 is: 75,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,597.38 : 138,823.65 = 54,656.61 : x
  2. Step 2: Convert to fraction form
    100,597.38/138,823.65 = 54,656.61/x
  3. Step 3: Cross multiply
    100,597.38x = 138,823.65 × 54,656.61
  4. Step 4: Simplify right side
    100,597.38x = 7,587,630,096.83
  5. Step 5: Solve for x
    x = 7,587,630,096.83/100,597.38
  6. Step 6: Final answer
    x = 75,425.72

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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.