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Finding the Fourth Proportional to 56,978.80, 85,468.20 and 32,402.80

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Solution

The fourth proportional to 56,978.80, 85,468.20 and 32,402.80 is: 48,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,978.80 : 85,468.20 = 32,402.80 : x
  2. Step 2: Convert to fraction form
    56,978.80/85,468.20 = 32,402.80/x
  3. Step 3: Cross multiply
    56,978.80x = 85,468.20 × 32,402.80
  4. Step 4: Simplify right side
    56,978.80x = 2,769,408,990.96
  5. Step 5: Solve for x
    x = 2,769,408,990.96/56,978.80
  6. Step 6: Final answer
    x = 48,604.20

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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.