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Finding the Fourth Proportional to 51,755.68, 71,423.12 and 29,400.48

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Solution

The fourth proportional to 51,755.68, 71,423.12 and 29,400.48 is: 40,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,755.68 : 71,423.12 = 29,400.48 : x
  2. Step 2: Convert to fraction form
    51,755.68/71,423.12 = 29,400.48/x
  3. Step 3: Cross multiply
    51,755.68x = 71,423.12 × 29,400.48
  4. Step 4: Simplify right side
    51,755.68x = 2,099,874,011.10
  5. Step 5: Solve for x
    x = 2,099,874,011.10/51,755.68
  6. Step 6: Final answer
    x = 40,572.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.