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Finding the Fourth Proportional to 57,149.40, 78,866.88 and 31,998.96

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Solution

The fourth proportional to 57,149.40, 78,866.88 and 31,998.96 is: 44,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,149.40 : 78,866.88 = 31,998.96 : x
  2. Step 2: Convert to fraction form
    57,149.40/78,866.88 = 31,998.96/x
  3. Step 3: Cross multiply
    57,149.40x = 78,866.88 × 31,998.96
  4. Step 4: Simplify right side
    57,149.40x = 2,523,658,138.44
  5. Step 5: Solve for x
    x = 2,523,658,138.44/57,149.40
  6. Step 6: Final answer
    x = 44,158.96

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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.