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Finding the Fourth Proportional to 71,780.96, 107,693.28 and 36,745.20

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Solution

The fourth proportional to 71,780.96, 107,693.28 and 36,745.20 is: 55,128.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,780.96 : 107,693.28 = 36,745.20 : x
  2. Step 2: Convert to fraction form
    71,780.96/107,693.28 = 36,745.20/x
  3. Step 3: Cross multiply
    71,780.96x = 107,693.28 × 36,745.20
  4. Step 4: Simplify right side
    71,780.96x = 3,957,211,112.26
  5. Step 5: Solve for x
    x = 3,957,211,112.26/71,780.96
  6. Step 6: Final answer
    x = 55,128.98

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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.