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Finding the Fourth Proportional to 57,034.92, 78,715.62 and 31,889.64

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Solution

The fourth proportional to 57,034.92, 78,715.62 and 31,889.64 is: 44,011.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,034.92 : 78,715.62 = 31,889.64 : x
  2. Step 2: Convert to fraction form
    57,034.92/78,715.62 = 31,889.64/x
  3. Step 3: Cross multiply
    57,034.92x = 78,715.62 × 31,889.64
  4. Step 4: Simplify right side
    57,034.92x = 2,510,212,784.18
  5. Step 5: Solve for x
    x = 2,510,212,784.18/57,034.92
  6. Step 6: Final answer
    x = 44,011.86

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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.