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Finding the Fourth Proportional to 72,874.53, 109,312.20 and 20,284.07

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Solution

The fourth proportional to 72,874.53, 109,312.20 and 20,284.07 is: 30,426.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,874.53 : 109,312.20 = 20,284.07 : x
  2. Step 2: Convert to fraction form
    72,874.53/109,312.20 = 20,284.07/x
  3. Step 3: Cross multiply
    72,874.53x = 109,312.20 × 20,284.07
  4. Step 4: Simplify right side
    72,874.53x = 2,217,295,770.09
  5. Step 5: Solve for x
    x = 2,217,295,770.09/72,874.53
  6. Step 6: Final answer
    x = 30,426.21

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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.