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Finding the Fourth Proportional to 78,676.78, 108,575.20 and 42,866.78

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Solution

The fourth proportional to 78,676.78, 108,575.20 and 42,866.78 is: 59,156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,676.78 : 108,575.20 = 42,866.78 : x
  2. Step 2: Convert to fraction form
    78,676.78/108,575.20 = 42,866.78/x
  3. Step 3: Cross multiply
    78,676.78x = 108,575.20 × 42,866.78
  4. Step 4: Simplify right side
    78,676.78x = 4,654,269,211.86
  5. Step 5: Solve for x
    x = 4,654,269,211.86/78,676.78
  6. Step 6: Final answer
    x = 59,156.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.