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Finding the Fourth Proportional to 80,715, 121,073.10 and 28,124.40

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Solution

The fourth proportional to 80,715, 121,073.10 and 28,124.40 is: 42,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,715 : 121,073.10 = 28,124.40 : x
  2. Step 2: Convert to fraction form
    80,715/121,073.10 = 28,124.40/x
  3. Step 3: Cross multiply
    80,715x = 121,073.10 × 28,124.40
  4. Step 4: Simplify right side
    80,715x = 3,405,108,293.64
  5. Step 5: Solve for x
    x = 3,405,108,293.64/80,715
  6. Step 6: Final answer
    x = 42,186.81

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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.