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Finding the Fourth Proportional to 80,534.57, 120,718.80 and 58,292.78

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Solution

The fourth proportional to 80,534.57, 120,718.80 and 58,292.78 is: 87,379.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,534.57 : 120,718.80 = 58,292.78 : x
  2. Step 2: Convert to fraction form
    80,534.57/120,718.80 = 58,292.78/x
  3. Step 3: Cross multiply
    80,534.57x = 120,718.80 × 58,292.78
  4. Step 4: Simplify right side
    80,534.57x = 7,037,033,846.67
  5. Step 5: Solve for x
    x = 7,037,033,846.67/80,534.57
  6. Step 6: Final answer
    x = 87,379.05

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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.