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Finding the Fourth Proportional to 71,773.60, 107,660.40 and 21,853.30

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Solution

The fourth proportional to 71,773.60, 107,660.40 and 21,853.30 is: 32,779.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,773.60 : 107,660.40 = 21,853.30 : x
  2. Step 2: Convert to fraction form
    71,773.60/107,660.40 = 21,853.30/x
  3. Step 3: Cross multiply
    71,773.60x = 107,660.40 × 21,853.30
  4. Step 4: Simplify right side
    71,773.60x = 2,352,735,019.32
  5. Step 5: Solve for x
    x = 2,352,735,019.32/71,773.60
  6. Step 6: Final answer
    x = 32,779.95

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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.