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Finding the Fourth Proportional to 78,630.78, 117,977.76 and 28,714.26

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Solution

The fourth proportional to 78,630.78, 117,977.76 and 28,714.26 is: 43,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,630.78 : 117,977.76 = 28,714.26 : x
  2. Step 2: Convert to fraction form
    78,630.78/117,977.76 = 28,714.26/x
  3. Step 3: Cross multiply
    78,630.78x = 117,977.76 × 28,714.26
  4. Step 4: Simplify right side
    78,630.78x = 3,387,644,074.86
  5. Step 5: Solve for x
    x = 3,387,644,074.86/78,630.78
  6. Step 6: Final answer
    x = 43,082.93

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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.