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Finding the Fourth Proportional to 172,177.80, 258,286.32 and 45,823.23

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Solution

The fourth proportional to 172,177.80, 258,286.32 and 45,823.23 is: 68,740.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,177.80 : 258,286.32 = 45,823.23 : x
  2. Step 2: Convert to fraction form
    172,177.80/258,286.32 = 45,823.23/x
  3. Step 3: Cross multiply
    172,177.80x = 258,286.32 × 45,823.23
  4. Step 4: Simplify right side
    172,177.80x = 11,835,513,447.21
  5. Step 5: Solve for x
    x = 11,835,513,447.21/172,177.80
  6. Step 6: Final answer
    x = 68,740.07

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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.