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Finding the Fourth Proportional to 172,438.65, 258,284.13 and 83,505.66

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Solution

The fourth proportional to 172,438.65, 258,284.13 and 83,505.66 is: 125,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,438.65 : 258,284.13 = 83,505.66 : x
  2. Step 2: Convert to fraction form
    172,438.65/258,284.13 = 83,505.66/x
  3. Step 3: Cross multiply
    172,438.65x = 258,284.13 × 83,505.66
  4. Step 4: Simplify right side
    172,438.65x = 21,568,187,388.89
  5. Step 5: Solve for x
    x = 21,568,187,388.89/172,438.65
  6. Step 6: Final answer
    x = 125,077.45

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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.