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Finding the Fourth Proportional to 56,644.75, 78,169.89 and 31,499.11

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Solution

The fourth proportional to 56,644.75, 78,169.89 and 31,499.11 is: 43,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,644.75 : 78,169.89 = 31,499.11 : x
  2. Step 2: Convert to fraction form
    56,644.75/78,169.89 = 31,499.11/x
  3. Step 3: Cross multiply
    56,644.75x = 78,169.89 × 31,499.11
  4. Step 4: Simplify right side
    56,644.75x = 2,462,281,963.80
  5. Step 5: Solve for x
    x = 2,462,281,963.80/56,644.75
  6. Step 6: Final answer
    x = 43,468.85

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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.