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Finding the Fourth Proportional to 172,206.66, 258,320.94 and 45,844.86

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Solution

The fourth proportional to 172,206.66, 258,320.94 and 45,844.86 is: 68,770.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,206.66 : 258,320.94 = 45,844.86 : x
  2. Step 2: Convert to fraction form
    172,206.66/258,320.94 = 45,844.86/x
  3. Step 3: Cross multiply
    172,206.66x = 258,320.94 × 45,844.86
  4. Step 4: Simplify right side
    172,206.66x = 11,842,687,329.37
  5. Step 5: Solve for x
    x = 11,842,687,329.37/172,206.66
  6. Step 6: Final answer
    x = 68,770.21

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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.