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Finding the Fourth Proportional to 80,271.85, 120,445.14 and 35,928.61

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Solution

The fourth proportional to 80,271.85, 120,445.14 and 35,928.61 is: 53,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,271.85 : 120,445.14 = 35,928.61 : x
  2. Step 2: Convert to fraction form
    80,271.85/120,445.14 = 35,928.61/x
  3. Step 3: Cross multiply
    80,271.85x = 120,445.14 × 35,928.61
  4. Step 4: Simplify right side
    80,271.85x = 4,327,426,461.46
  5. Step 5: Solve for x
    x = 4,327,426,461.46/80,271.85
  6. Step 6: Final answer
    x = 53,909.64

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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.