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Finding the Fourth Proportional to 56,057.76, 84,121.92 and 22,778.64

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Solution

The fourth proportional to 56,057.76, 84,121.92 and 22,778.64 is: 34,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,057.76 : 84,121.92 = 22,778.64 : x
  2. Step 2: Convert to fraction form
    56,057.76/84,121.92 = 22,778.64/x
  3. Step 3: Cross multiply
    56,057.76x = 84,121.92 × 22,778.64
  4. Step 4: Simplify right side
    56,057.76x = 1,916,182,931.79
  5. Step 5: Solve for x
    x = 1,916,182,931.79/56,057.76
  6. Step 6: Final answer
    x = 34,182.30

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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.