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Finding the Fourth Proportional to 81,165.65, 121,717.49 and 39,019.12

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Solution

The fourth proportional to 81,165.65, 121,717.49 and 39,019.12 is: 58,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,165.65 : 121,717.49 = 39,019.12 : x
  2. Step 2: Convert to fraction form
    81,165.65/121,717.49 = 39,019.12/x
  3. Step 3: Cross multiply
    81,165.65x = 121,717.49 × 39,019.12
  4. Step 4: Simplify right side
    81,165.65x = 4,749,308,849.02
  5. Step 5: Solve for x
    x = 4,749,308,849.02/81,165.65
  6. Step 6: Final answer
    x = 58,513.78

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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.