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Finding the Fourth Proportional to 80,367.64, 120,314.98 and 53,647.35

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Solution

The fourth proportional to 80,367.64, 120,314.98 and 53,647.35 is: 80,313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,367.64 : 120,314.98 = 53,647.35 : x
  2. Step 2: Convert to fraction form
    80,367.64/120,314.98 = 53,647.35/x
  3. Step 3: Cross multiply
    80,367.64x = 120,314.98 × 53,647.35
  4. Step 4: Simplify right side
    80,367.64x = 6,454,579,874.85
  5. Step 5: Solve for x
    x = 6,454,579,874.85/80,367.64
  6. Step 6: Final answer
    x = 80,313.17

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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.