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Finding the Fourth Proportional to 61,722.14, 85,178.31 and 34,865.78

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Solution

The fourth proportional to 61,722.14, 85,178.31 and 34,865.78 is: 48,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,722.14 : 85,178.31 = 34,865.78 : x
  2. Step 2: Convert to fraction form
    61,722.14/85,178.31 = 34,865.78/x
  3. Step 3: Cross multiply
    61,722.14x = 85,178.31 × 34,865.78
  4. Step 4: Simplify right side
    61,722.14x = 2,969,808,299.43
  5. Step 5: Solve for x
    x = 2,969,808,299.43/61,722.14
  6. Step 6: Final answer
    x = 48,115.77

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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.