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Finding the Fourth Proportional to 52,651.78, 72,659.28 and 28,778.44

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Solution

The fourth proportional to 52,651.78, 72,659.28 and 28,778.44 is: 39,714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,651.78 : 72,659.28 = 28,778.44 : x
  2. Step 2: Convert to fraction form
    52,651.78/72,659.28 = 28,778.44/x
  3. Step 3: Cross multiply
    52,651.78x = 72,659.28 × 28,778.44
  4. Step 4: Simplify right side
    52,651.78x = 2,091,020,729.92
  5. Step 5: Solve for x
    x = 2,091,020,729.92/52,651.78
  6. Step 6: Final answer
    x = 39,714.15

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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.