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Finding the Fourth Proportional to 73,780, 101,817.12 and 40,246.72

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Solution

The fourth proportional to 73,780, 101,817.12 and 40,246.72 is: 55,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,780 : 101,817.12 = 40,246.72 : x
  2. Step 2: Convert to fraction form
    73,780/101,817.12 = 40,246.72/x
  3. Step 3: Cross multiply
    73,780x = 101,817.12 × 40,246.72
  4. Step 4: Simplify right side
    73,780x = 4,097,805,119.85
  5. Step 5: Solve for x
    x = 4,097,805,119.85/73,780
  6. Step 6: Final answer
    x = 55,540.87

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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.