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Finding the Fourth Proportional to 116,851.38, 161,266.95 and 71,559.42

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Solution

The fourth proportional to 116,851.38, 161,266.95 and 71,559.42 is: 98,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,851.38 : 161,266.95 = 71,559.42 : x
  2. Step 2: Convert to fraction form
    116,851.38/161,266.95 = 71,559.42/x
  3. Step 3: Cross multiply
    116,851.38x = 161,266.95 × 71,559.42
  4. Step 4: Simplify right side
    116,851.38x = 11,540,169,407.17
  5. Step 5: Solve for x
    x = 11,540,169,407.17/116,851.38
  6. Step 6: Final answer
    x = 98,759.38

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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.