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Finding the Fourth Proportional to 172,053.87, 258,021.97 and 65,412.10

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Solution

The fourth proportional to 172,053.87, 258,021.97 and 65,412.10 is: 98,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,053.87 : 258,021.97 = 65,412.10 : x
  2. Step 2: Convert to fraction form
    172,053.87/258,021.97 = 65,412.10/x
  3. Step 3: Cross multiply
    172,053.87x = 258,021.97 × 65,412.10
  4. Step 4: Simplify right side
    172,053.87x = 16,877,758,576.78
  5. Step 5: Solve for x
    x = 16,877,758,576.78/172,053.87
  6. Step 6: Final answer
    x = 98,095.78

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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.