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Finding the Fourth Proportional to 57,877, 79,870.74 and 31,381

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Solution

The fourth proportional to 57,877, 79,870.74 and 31,381 is: 43,306.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,877 : 79,870.74 = 31,381 : x
  2. Step 2: Convert to fraction form
    57,877/79,870.74 = 31,381/x
  3. Step 3: Cross multiply
    57,877x = 79,870.74 × 31,381
  4. Step 4: Simplify right side
    57,877x = 2,506,423,691.94
  5. Step 5: Solve for x
    x = 2,506,423,691.94/57,877
  6. Step 6: Final answer
    x = 43,306.04

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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.