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Finding the Fourth Proportional to 57,182.87, 78,912.56 and 31,689.67

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Solution

The fourth proportional to 57,182.87, 78,912.56 and 31,689.67 is: 43,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,182.87 : 78,912.56 = 31,689.67 : x
  2. Step 2: Convert to fraction form
    57,182.87/78,912.56 = 31,689.67/x
  3. Step 3: Cross multiply
    57,182.87x = 78,912.56 × 31,689.67
  4. Step 4: Simplify right side
    57,182.87x = 2,500,712,837.34
  5. Step 5: Solve for x
    x = 2,500,712,837.34/57,182.87
  6. Step 6: Final answer
    x = 43,731.85

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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.