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Finding the Fourth Proportional to 71,372.80, 107,289.60 and 65,843.20

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Solution

The fourth proportional to 71,372.80, 107,289.60 and 65,843.20 is: 98,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,372.80 : 107,289.60 = 65,843.20 : x
  2. Step 2: Convert to fraction form
    71,372.80/107,289.60 = 65,843.20/x
  3. Step 3: Cross multiply
    71,372.80x = 107,289.60 × 65,843.20
  4. Step 4: Simplify right side
    71,372.80x = 7,064,290,590.72
  5. Step 5: Solve for x
    x = 7,064,290,590.72/71,372.80
  6. Step 6: Final answer
    x = 98,977.35

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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.