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Finding the Fourth Proportional to 213,288.90, 319,991.81 and 93,324.11

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Solution

The fourth proportional to 213,288.90, 319,991.81 and 93,324.11 is: 140,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,288.90 : 319,991.81 = 93,324.11 : x
  2. Step 2: Convert to fraction form
    213,288.90/319,991.81 = 93,324.11/x
  3. Step 3: Cross multiply
    213,288.90x = 319,991.81 × 93,324.11
  4. Step 4: Simplify right side
    213,288.90x = 29,862,948,808.96
  5. Step 5: Solve for x
    x = 29,862,948,808.96/213,288.90
  6. Step 6: Final answer
    x = 140,011.73

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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.