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Finding the Fourth Proportional to 57,043.32, 78,720 and 31,892.76

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Solution

The fourth proportional to 57,043.32, 78,720 and 31,892.76 is: 44,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,043.32 : 78,720 = 31,892.76 : x
  2. Step 2: Convert to fraction form
    57,043.32/78,720 = 31,892.76/x
  3. Step 3: Cross multiply
    57,043.32x = 78,720 × 31,892.76
  4. Step 4: Simplify right side
    57,043.32x = 2,510,598,067.20
  5. Step 5: Solve for x
    x = 2,510,598,067.20/57,043.32
  6. Step 6: Final answer
    x = 44,012.13

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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.