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Finding the Fourth Proportional to 193,486.16, 290,174.16 and 75,132.20

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Solution

The fourth proportional to 193,486.16, 290,174.16 and 75,132.20 is: 112,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,486.16 : 290,174.16 = 75,132.20 : x
  2. Step 2: Convert to fraction form
    193,486.16/290,174.16 = 75,132.20/x
  3. Step 3: Cross multiply
    193,486.16x = 290,174.16 × 75,132.20
  4. Step 4: Simplify right side
    193,486.16x = 21,801,423,023.95
  5. Step 5: Solve for x
    x = 21,801,423,023.95/193,486.16
  6. Step 6: Final answer
    x = 112,676.91

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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.