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Finding the Fourth Proportional to 116,690.67, 161,042.31 and 107,643.78

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Solution

The fourth proportional to 116,690.67, 161,042.31 and 107,643.78 is: 148,556.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,690.67 : 161,042.31 = 107,643.78 : x
  2. Step 2: Convert to fraction form
    116,690.67/161,042.31 = 107,643.78/x
  3. Step 3: Cross multiply
    116,690.67x = 161,042.31 × 107,643.78
  4. Step 4: Simplify right side
    116,690.67x = 17,335,202,988.33
  5. Step 5: Solve for x
    x = 17,335,202,988.33/116,690.67
  6. Step 6: Final answer
    x = 148,556.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.