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Finding the Fourth Proportional to 172,198.40, 258,686.44 and 102,123.68

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Solution

The fourth proportional to 172,198.40, 258,686.44 and 102,123.68 is: 153,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,198.40 : 258,686.44 = 102,123.68 : x
  2. Step 2: Convert to fraction form
    172,198.40/258,686.44 = 102,123.68/x
  3. Step 3: Cross multiply
    172,198.40x = 258,686.44 × 102,123.68
  4. Step 4: Simplify right side
    172,198.40x = 26,418,011,218.90
  5. Step 5: Solve for x
    x = 26,418,011,218.90/172,198.40
  6. Step 6: Final answer
    x = 153,416.12

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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.