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Finding the Fourth Proportional to 57,700, 79,626.24 and 31,204

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Solution

The fourth proportional to 57,700, 79,626.24 and 31,204 is: 43,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,700 : 79,626.24 = 31,204 : x
  2. Step 2: Convert to fraction form
    57,700/79,626.24 = 31,204/x
  3. Step 3: Cross multiply
    57,700x = 79,626.24 × 31,204
  4. Step 4: Simplify right side
    57,700x = 2,484,657,192.96
  5. Step 5: Solve for x
    x = 2,484,657,192.96/57,700
  6. Step 6: Final answer
    x = 43,061.65

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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.