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Finding the Fourth Proportional to 57,070.50, 78,757.56 and 31,920

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Solution

The fourth proportional to 57,070.50, 78,757.56 and 31,920 is: 44,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,070.50 : 78,757.56 = 31,920 : x
  2. Step 2: Convert to fraction form
    57,070.50/78,757.56 = 31,920/x
  3. Step 3: Cross multiply
    57,070.50x = 78,757.56 × 31,920
  4. Step 4: Simplify right side
    57,070.50x = 2,513,941,315.20
  5. Step 5: Solve for x
    x = 2,513,941,315.20/57,070.50
  6. Step 6: Final answer
    x = 44,049.75

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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.