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Finding the Fourth Proportional to 159,078.70, 238,618.05 and 133,029.10

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Solution

The fourth proportional to 159,078.70, 238,618.05 and 133,029.10 is: 199,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,078.70 : 238,618.05 = 133,029.10 : x
  2. Step 2: Convert to fraction form
    159,078.70/238,618.05 = 133,029.10/x
  3. Step 3: Cross multiply
    159,078.70x = 238,618.05 × 133,029.10
  4. Step 4: Simplify right side
    159,078.70x = 31,743,144,435.26
  5. Step 5: Solve for x
    x = 31,743,144,435.26/159,078.70
  6. Step 6: Final answer
    x = 199,543.65

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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.