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Finding the Fourth Proportional to 172,686.99, 259,207.17 and 142,605.42

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Solution

The fourth proportional to 172,686.99, 259,207.17 and 142,605.42 is: 214,054.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,686.99 : 259,207.17 = 142,605.42 : x
  2. Step 2: Convert to fraction form
    172,686.99/259,207.17 = 142,605.42/x
  3. Step 3: Cross multiply
    172,686.99x = 259,207.17 × 142,605.42
  4. Step 4: Simplify right side
    172,686.99x = 36,964,347,344.86
  5. Step 5: Solve for x
    x = 36,964,347,344.86/172,686.99
  6. Step 6: Final answer
    x = 214,054.04

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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.