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Finding the Fourth Proportional to 228,121.30, 342,279.15 and 157,962.34

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Solution

The fourth proportional to 228,121.30, 342,279.15 and 157,962.34 is: 237,010.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,121.30 : 342,279.15 = 157,962.34 : x
  2. Step 2: Convert to fraction form
    228,121.30/342,279.15 = 157,962.34/x
  3. Step 3: Cross multiply
    228,121.30x = 342,279.15 × 157,962.34
  4. Step 4: Simplify right side
    228,121.30x = 54,067,215,467.21
  5. Step 5: Solve for x
    x = 54,067,215,467.21/228,121.30
  6. Step 6: Final answer
    x = 237,010.82

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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.