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Finding the Fourth Proportional to 213,187.70, 319,612.86 and 80,053.12

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Solution

The fourth proportional to 213,187.70, 319,612.86 and 80,053.12 is: 120,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,187.70 : 319,612.86 = 80,053.12 : x
  2. Step 2: Convert to fraction form
    213,187.70/319,612.86 = 80,053.12/x
  3. Step 3: Cross multiply
    213,187.70x = 319,612.86 × 80,053.12
  4. Step 4: Simplify right side
    213,187.70x = 25,586,006,635.12
  5. Step 5: Solve for x
    x = 25,586,006,635.12/213,187.70
  6. Step 6: Final answer
    x = 120,016.34

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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.