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Finding the Fourth Proportional to 78,118.58, 117,197.31 and 22,714.58

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Solution

The fourth proportional to 78,118.58, 117,197.31 and 22,714.58 is: 34,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,118.58 : 117,197.31 = 22,714.58 : x
  2. Step 2: Convert to fraction form
    78,118.58/117,197.31 = 22,714.58/x
  3. Step 3: Cross multiply
    78,118.58x = 117,197.31 × 22,714.58
  4. Step 4: Simplify right side
    78,118.58x = 2,662,087,673.78
  5. Step 5: Solve for x
    x = 2,662,087,673.78/78,118.58
  6. Step 6: Final answer
    x = 34,077.52

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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.