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Finding the Fourth Proportional to 213,595.89, 320,394.14 and 87,236.15

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Solution

The fourth proportional to 213,595.89, 320,394.14 and 87,236.15 is: 130,854.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,595.89 : 320,394.14 = 87,236.15 : x
  2. Step 2: Convert to fraction form
    213,595.89/320,394.14 = 87,236.15/x
  3. Step 3: Cross multiply
    213,595.89x = 320,394.14 × 87,236.15
  4. Step 4: Simplify right side
    213,595.89x = 27,949,949,218.01
  5. Step 5: Solve for x
    x = 27,949,949,218.01/213,595.89
  6. Step 6: Final answer
    x = 130,854.34

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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.