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Finding the Fourth Proportional to 172,440.65, 258,287.13 and 83,507.66

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Solution

The fourth proportional to 172,440.65, 258,287.13 and 83,507.66 is: 125,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,440.65 : 258,287.13 = 83,507.66 : x
  2. Step 2: Convert to fraction form
    172,440.65/258,287.13 = 83,507.66/x
  3. Step 3: Cross multiply
    172,440.65x = 258,287.13 × 83,507.66
  4. Step 4: Simplify right side
    172,440.65x = 21,568,953,834.42
  5. Step 5: Solve for x
    x = 21,568,953,834.42/172,440.65
  6. Step 6: Final answer
    x = 125,080.45

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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.