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Finding the Fourth Proportional to 52,216.62, 78,254.77 and 28,488.61

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Solution

The fourth proportional to 52,216.62, 78,254.77 and 28,488.61 is: 42,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,216.62 : 78,254.77 = 28,488.61 : x
  2. Step 2: Convert to fraction form
    52,216.62/78,254.77 = 28,488.61/x
  3. Step 3: Cross multiply
    52,216.62x = 78,254.77 × 28,488.61
  4. Step 4: Simplify right side
    52,216.62x = 2,229,369,619.44
  5. Step 5: Solve for x
    x = 2,229,369,619.44/52,216.62
  6. Step 6: Final answer
    x = 42,694.64

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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.