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Finding the Fourth Proportional to 55,957.60, 83,926.80 and 20,879.20

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Solution

The fourth proportional to 55,957.60, 83,926.80 and 20,879.20 is: 31,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,957.60 : 83,926.80 = 20,879.20 : x
  2. Step 2: Convert to fraction form
    55,957.60/83,926.80 = 20,879.20/x
  3. Step 3: Cross multiply
    55,957.60x = 83,926.80 × 20,879.20
  4. Step 4: Simplify right side
    55,957.60x = 1,752,324,442.56
  5. Step 5: Solve for x
    x = 1,752,324,442.56/55,957.60
  6. Step 6: Final answer
    x = 31,315.22

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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.