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Finding the Fourth Proportional to 78,874.36, 118,177.92 and 47,644

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Solution

The fourth proportional to 78,874.36, 118,177.92 and 47,644 is: 71,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,874.36 : 118,177.92 = 47,644 : x
  2. Step 2: Convert to fraction form
    78,874.36/118,177.92 = 47,644/x
  3. Step 3: Cross multiply
    78,874.36x = 118,177.92 × 47,644
  4. Step 4: Simplify right side
    78,874.36x = 5,630,468,820.48
  5. Step 5: Solve for x
    x = 5,630,468,820.48/78,874.36
  6. Step 6: Final answer
    x = 71,385.29

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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.