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Finding the Fourth Proportional to 172,351.12, 258,386.94 and 77,511.88

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Solution

The fourth proportional to 172,351.12, 258,386.94 and 77,511.88 is: 116,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,351.12 : 258,386.94 = 77,511.88 : x
  2. Step 2: Convert to fraction form
    172,351.12/258,386.94 = 77,511.88/x
  3. Step 3: Cross multiply
    172,351.12x = 258,386.94 × 77,511.88
  4. Step 4: Simplify right side
    172,351.12x = 20,028,057,486.85
  5. Step 5: Solve for x
    x = 20,028,057,486.85/172,351.12
  6. Step 6: Final answer
    x = 116,204.97

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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.