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Finding the Fourth Proportional to 143,193.80, 214,774.24 and 38,021

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Solution

The fourth proportional to 143,193.80, 214,774.24 and 38,021 is: 57,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,193.80 : 214,774.24 = 38,021 : x
  2. Step 2: Convert to fraction form
    143,193.80/214,774.24 = 38,021/x
  3. Step 3: Cross multiply
    143,193.80x = 214,774.24 × 38,021
  4. Step 4: Simplify right side
    143,193.80x = 8,165,931,379.04
  5. Step 5: Solve for x
    x = 8,165,931,379.04/143,193.80
  6. Step 6: Final answer
    x = 57,027.13

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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.