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Finding the Fourth Proportional to 56,959.20, 85,438.80 and 41,212.80

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Solution

The fourth proportional to 56,959.20, 85,438.80 and 41,212.80 is: 61,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,959.20 : 85,438.80 = 41,212.80 : x
  2. Step 2: Convert to fraction form
    56,959.20/85,438.80 = 41,212.80/x
  3. Step 3: Cross multiply
    56,959.20x = 85,438.80 × 41,212.80
  4. Step 4: Simplify right side
    56,959.20x = 3,521,172,176.64
  5. Step 5: Solve for x
    x = 3,521,172,176.64/56,959.20
  6. Step 6: Final answer
    x = 61,819.20

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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.