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Finding the Fourth Proportional to 193,487.67, 289,887.80 and 165,119.85

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Solution

The fourth proportional to 193,487.67, 289,887.80 and 165,119.85 is: 247,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,487.67 : 289,887.80 = 165,119.85 : x
  2. Step 2: Convert to fraction form
    193,487.67/289,887.80 = 165,119.85/x
  3. Step 3: Cross multiply
    193,487.67x = 289,887.80 × 165,119.85
  4. Step 4: Simplify right side
    193,487.67x = 47,866,229,227.23
  5. Step 5: Solve for x
    x = 47,866,229,227.23/193,487.67
  6. Step 6: Final answer
    x = 247,386.46

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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.