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Finding the Fourth Proportional to 193,778.38, 290,602.89 and 81,437.65

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Solution

The fourth proportional to 193,778.38, 290,602.89 and 81,437.65 is: 122,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,778.38 : 290,602.89 = 81,437.65 : x
  2. Step 2: Convert to fraction form
    193,778.38/290,602.89 = 81,437.65/x
  3. Step 3: Cross multiply
    193,778.38x = 290,602.89 × 81,437.65
  4. Step 4: Simplify right side
    193,778.38x = 23,666,017,352.94
  5. Step 5: Solve for x
    x = 23,666,017,352.94/193,778.38
  6. Step 6: Final answer
    x = 122,129.30

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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.