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Finding the Fourth Proportional to 61,711.84, 85,165.44 and 36,219.31

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Solution

The fourth proportional to 61,711.84, 85,165.44 and 36,219.31 is: 49,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,711.84 : 85,165.44 = 36,219.31 : x
  2. Step 2: Convert to fraction form
    61,711.84/85,165.44 = 36,219.31/x
  3. Step 3: Cross multiply
    61,711.84x = 85,165.44 × 36,219.31
  4. Step 4: Simplify right side
    61,711.84x = 3,084,633,472.65
  5. Step 5: Solve for x
    x = 3,084,633,472.65/61,711.84
  6. Step 6: Final answer
    x = 49,984.47

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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.