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Finding the Fourth Proportional to 57,000.31, 78,659.05 and 31,157.71

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Solution

The fourth proportional to 57,000.31, 78,659.05 and 31,157.71 is: 42,996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,000.31 : 78,659.05 = 31,157.71 : x
  2. Step 2: Convert to fraction form
    57,000.31/78,659.05 = 31,157.71/x
  3. Step 3: Cross multiply
    57,000.31x = 78,659.05 × 31,157.71
  4. Step 4: Simplify right side
    57,000.31x = 2,450,835,711.08
  5. Step 5: Solve for x
    x = 2,450,835,711.08/57,000.31
  6. Step 6: Final answer
    x = 42,996.89

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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.