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Finding the Fourth Proportional to 71,878.08, 107,773.20 and 34,449.60

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Solution

The fourth proportional to 71,878.08, 107,773.20 and 34,449.60 is: 51,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,878.08 : 107,773.20 = 34,449.60 : x
  2. Step 2: Convert to fraction form
    71,878.08/107,773.20 = 34,449.60/x
  3. Step 3: Cross multiply
    71,878.08x = 107,773.20 × 34,449.60
  4. Step 4: Simplify right side
    71,878.08x = 3,712,743,630.72
  5. Step 5: Solve for x
    x = 3,712,743,630.72/71,878.08
  6. Step 6: Final answer
    x = 51,653.35

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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.