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Finding the Fourth Proportional to 52,144.64, 78,217.04 and 20,972.64

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Solution

The fourth proportional to 52,144.64, 78,217.04 and 20,972.64 is: 31,458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,144.64 : 78,217.04 = 20,972.64 : x
  2. Step 2: Convert to fraction form
    52,144.64/78,217.04 = 20,972.64/x
  3. Step 3: Cross multiply
    52,144.64x = 78,217.04 × 20,972.64
  4. Step 4: Simplify right side
    52,144.64x = 1,640,417,821.79
  5. Step 5: Solve for x
    x = 1,640,417,821.79/52,144.64
  6. Step 6: Final answer
    x = 31,458.99

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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.