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Finding the Fourth Proportional to 172,127.41, 258,181.08 and 77,333.11

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Solution

The fourth proportional to 172,127.41, 258,181.08 and 77,333.11 is: 115,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,127.41 : 258,181.08 = 77,333.11 : x
  2. Step 2: Convert to fraction form
    172,127.41/258,181.08 = 77,333.11/x
  3. Step 3: Cross multiply
    172,127.41x = 258,181.08 × 77,333.11
  4. Step 4: Simplify right side
    172,127.41x = 19,965,945,859.56
  5. Step 5: Solve for x
    x = 19,965,945,859.56/172,127.41
  6. Step 6: Final answer
    x = 115,995.16

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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.