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Finding the Fourth Proportional to 71,701.18, 107,454.89 and 27,303.72

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Solution

The fourth proportional to 71,701.18, 107,454.89 and 27,303.72 is: 40,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,701.18 : 107,454.89 = 27,303.72 : x
  2. Step 2: Convert to fraction form
    71,701.18/107,454.89 = 27,303.72/x
  3. Step 3: Cross multiply
    71,701.18x = 107,454.89 × 27,303.72
  4. Step 4: Simplify right side
    71,701.18x = 2,933,918,229.19
  5. Step 5: Solve for x
    x = 2,933,918,229.19/71,701.18
  6. Step 6: Final answer
    x = 40,918.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.