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Finding the Fourth Proportional to 228,767.10, 343,193.88 and 86,654.94

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Solution

The fourth proportional to 228,767.10, 343,193.88 and 86,654.94 is: 129,998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,767.10 : 343,193.88 = 86,654.94 : x
  2. Step 2: Convert to fraction form
    228,767.10/343,193.88 = 86,654.94/x
  3. Step 3: Cross multiply
    228,767.10x = 343,193.88 × 86,654.94
  4. Step 4: Simplify right side
    228,767.10x = 29,739,445,079.77
  5. Step 5: Solve for x
    x = 29,739,445,079.77/228,767.10
  6. Step 6: Final answer
    x = 129,998.79

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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.