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Finding the Fourth Proportional to 193,013.74, 289,486.56 and 74,587.72

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Solution

The fourth proportional to 193,013.74, 289,486.56 and 74,587.72 is: 111,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,013.74 : 289,486.56 = 74,587.72 : x
  2. Step 2: Convert to fraction form
    193,013.74/289,486.56 = 74,587.72/x
  3. Step 3: Cross multiply
    193,013.74x = 289,486.56 × 74,587.72
  4. Step 4: Simplify right side
    193,013.74x = 21,592,142,481.04
  5. Step 5: Solve for x
    x = 21,592,142,481.04/193,013.74
  6. Step 6: Final answer
    x = 111,868.42

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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.