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Finding the Fourth Proportional to 78,221.65, 107,948.16 and 44,229.40

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Solution

The fourth proportional to 78,221.65, 107,948.16 and 44,229.40 is: 61,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,221.65 : 107,948.16 = 44,229.40 : x
  2. Step 2: Convert to fraction form
    78,221.65/107,948.16 = 44,229.40/x
  3. Step 3: Cross multiply
    78,221.65x = 107,948.16 × 44,229.40
  4. Step 4: Simplify right side
    78,221.65x = 4,774,481,912.17
  5. Step 5: Solve for x
    x = 4,774,481,912.17/78,221.65
  6. Step 6: Final answer
    x = 61,037.86

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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.