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Finding the Fourth Proportional to 71,922.80, 107,999.40 and 54,412.40

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Solution

The fourth proportional to 71,922.80, 107,999.40 and 54,412.40 is: 81,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,922.80 : 107,999.40 = 54,412.40 : x
  2. Step 2: Convert to fraction form
    71,922.80/107,999.40 = 54,412.40/x
  3. Step 3: Cross multiply
    71,922.80x = 107,999.40 × 54,412.40
  4. Step 4: Simplify right side
    71,922.80x = 5,876,506,552.56
  5. Step 5: Solve for x
    x = 5,876,506,552.56/71,922.80
  6. Step 6: Final answer
    x = 81,705.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.