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Finding the Fourth Proportional to 228,854.15, 343,234.25 and 86,650.48

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Solution

The fourth proportional to 228,854.15, 343,234.25 and 86,650.48 is: 129,957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,854.15 : 343,234.25 = 86,650.48 : x
  2. Step 2: Convert to fraction form
    228,854.15/343,234.25 = 86,650.48/x
  3. Step 3: Cross multiply
    228,854.15x = 343,234.25 × 86,650.48
  4. Step 4: Simplify right side
    228,854.15x = 29,741,412,514.94
  5. Step 5: Solve for x
    x = 29,741,412,514.94/228,854.15
  6. Step 6: Final answer
    x = 129,957.93

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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.