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Finding the Fourth Proportional to 172,439.65, 258,285.63 and 83,506.66

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Solution

The fourth proportional to 172,439.65, 258,285.63 and 83,506.66 is: 125,078.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,439.65 : 258,285.63 = 83,506.66 : x
  2. Step 2: Convert to fraction form
    172,439.65/258,285.63 = 83,506.66/x
  3. Step 3: Cross multiply
    172,439.65x = 258,285.63 × 83,506.66
  4. Step 4: Simplify right side
    172,439.65x = 21,568,570,287.30
  5. Step 5: Solve for x
    x = 21,568,570,287.30/172,439.65
  6. Step 6: Final answer
    x = 125,078.95

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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.