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Finding the Fourth Proportional to 52,764.64, 79,078.06 and 40,238.80

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Solution

The fourth proportional to 52,764.64, 79,078.06 and 40,238.80 is: 60,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,764.64 : 79,078.06 = 40,238.80 : x
  2. Step 2: Convert to fraction form
    52,764.64/79,078.06 = 40,238.80/x
  3. Step 3: Cross multiply
    52,764.64x = 79,078.06 × 40,238.80
  4. Step 4: Simplify right side
    52,764.64x = 3,182,006,240.73
  5. Step 5: Solve for x
    x = 3,182,006,240.73/52,764.64
  6. Step 6: Final answer
    x = 60,305.66

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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.