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Finding the Fourth Proportional to 172,781.14, 259,962.26 and 102,712.90

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Solution

The fourth proportional to 172,781.14, 259,962.26 and 102,712.90 is: 154,539.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,781.14 : 259,962.26 = 102,712.90 : x
  2. Step 2: Convert to fraction form
    172,781.14/259,962.26 = 102,712.90/x
  3. Step 3: Cross multiply
    172,781.14x = 259,962.26 × 102,712.90
  4. Step 4: Simplify right side
    172,781.14x = 26,701,476,572.12
  5. Step 5: Solve for x
    x = 26,701,476,572.12/172,781.14
  6. Step 6: Final answer
    x = 154,539.31

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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.