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Finding the Fourth Proportional to 229,029.54, 315,853.71 and 142,996.30

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Solution

The fourth proportional to 229,029.54, 315,853.71 and 142,996.30 is: 197,205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,029.54 : 315,853.71 = 142,996.30 : x
  2. Step 2: Convert to fraction form
    229,029.54/315,853.71 = 142,996.30/x
  3. Step 3: Cross multiply
    229,029.54x = 315,853.71 × 142,996.30
  4. Step 4: Simplify right side
    229,029.54x = 45,165,910,545.40
  5. Step 5: Solve for x
    x = 45,165,910,545.40/229,029.54
  6. Step 6: Final answer
    x = 197,205.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.