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Finding the Fourth Proportional to 159,147.80, 238,721.70 and 74,855.56

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Solution

The fourth proportional to 159,147.80, 238,721.70 and 74,855.56 is: 112,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,147.80 : 238,721.70 = 74,855.56 : x
  2. Step 2: Convert to fraction form
    159,147.80/238,721.70 = 74,855.56/x
  3. Step 3: Cross multiply
    159,147.80x = 238,721.70 × 74,855.56
  4. Step 4: Simplify right side
    159,147.80x = 17,869,646,537.65
  5. Step 5: Solve for x
    x = 17,869,646,537.65/159,147.80
  6. Step 6: Final answer
    x = 112,283.34

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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.