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Finding the Fourth Proportional to 213,508.66, 320,154.18 and 71,302.78

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Solution

The fourth proportional to 213,508.66, 320,154.18 and 71,302.78 is: 106,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,508.66 : 320,154.18 = 71,302.78 : x
  2. Step 2: Convert to fraction form
    213,508.66/320,154.18 = 71,302.78/x
  3. Step 3: Cross multiply
    213,508.66x = 320,154.18 × 71,302.78
  4. Step 4: Simplify right side
    213,508.66x = 22,827,883,062.62
  5. Step 5: Solve for x
    x = 22,827,883,062.62/213,508.66
  6. Step 6: Final answer
    x = 106,917.83

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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.