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Finding the Fourth Proportional to 78,474.72, 117,723.60 and 25,897.44

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Solution

The fourth proportional to 78,474.72, 117,723.60 and 25,897.44 is: 38,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,474.72 : 117,723.60 = 25,897.44 : x
  2. Step 2: Convert to fraction form
    78,474.72/117,723.60 = 25,897.44/x
  3. Step 3: Cross multiply
    78,474.72x = 117,723.60 × 25,897.44
  4. Step 4: Simplify right side
    78,474.72x = 3,048,739,867.58
  5. Step 5: Solve for x
    x = 3,048,739,867.58/78,474.72
  6. Step 6: Final answer
    x = 38,849.96

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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.