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Finding the Fourth Proportional to 172,723.20, 238,308.48 and 119,022.72

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Solution

The fourth proportional to 172,723.20, 238,308.48 and 119,022.72 is: 164,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,723.20 : 238,308.48 = 119,022.72 : x
  2. Step 2: Convert to fraction form
    172,723.20/238,308.48 = 119,022.72/x
  3. Step 3: Cross multiply
    172,723.20x = 238,308.48 × 119,022.72
  4. Step 4: Simplify right side
    172,723.20x = 28,364,123,488.67
  5. Step 5: Solve for x
    x = 28,364,123,488.67/172,723.20
  6. Step 6: Final answer
    x = 164,217.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.