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Finding the Fourth Proportional to 80,312.49, 120,474.65 and 21,147.75

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Solution

The fourth proportional to 80,312.49, 120,474.65 and 21,147.75 is: 31,723.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,312.49 : 120,474.65 = 21,147.75 : x
  2. Step 2: Convert to fraction form
    80,312.49/120,474.65 = 21,147.75/x
  3. Step 3: Cross multiply
    80,312.49x = 120,474.65 × 21,147.75
  4. Step 4: Simplify right side
    80,312.49x = 2,547,767,832.41
  5. Step 5: Solve for x
    x = 2,547,767,832.41/80,312.49
  6. Step 6: Final answer
    x = 31,723.18

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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.