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Finding the Fourth Proportional to 172,988.48, 259,388.52 and 78,107.48

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Solution

The fourth proportional to 172,988.48, 259,388.52 and 78,107.48 is: 117,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,988.48 : 259,388.52 = 78,107.48 : x
  2. Step 2: Convert to fraction form
    172,988.48/259,388.52 = 78,107.48/x
  3. Step 3: Cross multiply
    172,988.48x = 259,388.52 × 78,107.48
  4. Step 4: Simplify right side
    172,988.48x = 20,260,183,638.13
  5. Step 5: Solve for x
    x = 20,260,183,638.13/172,988.48
  6. Step 6: Final answer
    x = 117,118.69

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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.