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Finding the Fourth Proportional to 172,097.23, 258,275.09 and 87,927.80

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Solution

The fourth proportional to 172,097.23, 258,275.09 and 87,927.80 is: 131,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,097.23 : 258,275.09 = 87,927.80 : x
  2. Step 2: Convert to fraction form
    172,097.23/258,275.09 = 87,927.80/x
  3. Step 3: Cross multiply
    172,097.23x = 258,275.09 × 87,927.80
  4. Step 4: Simplify right side
    172,097.23x = 22,709,561,324.01
  5. Step 5: Solve for x
    x = 22,709,561,324.01/172,097.23
  6. Step 6: Final answer
    x = 131,957.74

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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.