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Finding the Fourth Proportional to 76,854.40, 115,271.88 and 24,269.20

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Solution

The fourth proportional to 76,854.40, 115,271.88 and 24,269.20 is: 36,400.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,854.40 : 115,271.88 = 24,269.20 : x
  2. Step 2: Convert to fraction form
    76,854.40/115,271.88 = 24,269.20/x
  3. Step 3: Cross multiply
    76,854.40x = 115,271.88 × 24,269.20
  4. Step 4: Simplify right side
    76,854.40x = 2,797,556,310.10
  5. Step 5: Solve for x
    x = 2,797,556,310.10/76,854.40
  6. Step 6: Final answer
    x = 36,400.73

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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.