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Finding the Fourth Proportional to 172,176.23, 258,264 and 45,816.48

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Solution

The fourth proportional to 172,176.23, 258,264 and 45,816.48 is: 68,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,176.23 : 258,264 = 45,816.48 : x
  2. Step 2: Convert to fraction form
    172,176.23/258,264 = 45,816.48/x
  3. Step 3: Cross multiply
    172,176.23x = 258,264 × 45,816.48
  4. Step 4: Simplify right side
    172,176.23x = 11,832,747,390.72
  5. Step 5: Solve for x
    x = 11,832,747,390.72/172,176.23
  6. Step 6: Final answer
    x = 68,724.63

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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.