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Finding the Fourth Proportional to 172,781.26, 259,962.45 and 102,713.02

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Solution

The fourth proportional to 172,781.26, 259,962.45 and 102,713.02 is: 154,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,781.26 : 259,962.45 = 102,713.02 : x
  2. Step 2: Convert to fraction form
    172,781.26/259,962.45 = 102,713.02/x
  3. Step 3: Cross multiply
    172,781.26x = 259,962.45 × 102,713.02
  4. Step 4: Simplify right side
    172,781.26x = 26,701,528,326.10
  5. Step 5: Solve for x
    x = 26,701,528,326.10/172,781.26
  6. Step 6: Final answer
    x = 154,539.49

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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.