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Finding the Fourth Proportional to 56,956.80, 78,029.52 and 54,827.10

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Solution

The fourth proportional to 56,956.80, 78,029.52 and 54,827.10 is: 75,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,956.80 : 78,029.52 = 54,827.10 : x
  2. Step 2: Convert to fraction form
    56,956.80/78,029.52 = 54,827.10/x
  3. Step 3: Cross multiply
    56,956.80x = 78,029.52 × 54,827.10
  4. Step 4: Simplify right side
    56,956.80x = 4,278,132,295.99
  5. Step 5: Solve for x
    x = 4,278,132,295.99/56,956.80
  6. Step 6: Final answer
    x = 75,111.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.