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Finding the Fourth Proportional to 55,672.80, 83,314.80 and 38,176.80

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Solution

The fourth proportional to 55,672.80, 83,314.80 and 38,176.80 is: 57,131.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,672.80 : 83,314.80 = 38,176.80 : x
  2. Step 2: Convert to fraction form
    55,672.80/83,314.80 = 38,176.80/x
  3. Step 3: Cross multiply
    55,672.80x = 83,314.80 × 38,176.80
  4. Step 4: Simplify right side
    55,672.80x = 3,180,692,456.64
  5. Step 5: Solve for x
    x = 3,180,692,456.64/55,672.80
  6. Step 6: Final answer
    x = 57,131.89

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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.