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Finding the Fourth Proportional to 159,196.78, 239,743.28 and 138,668.14

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Solution

The fourth proportional to 159,196.78, 239,743.28 and 138,668.14 is: 208,828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,196.78 : 239,743.28 = 138,668.14 : x
  2. Step 2: Convert to fraction form
    159,196.78/239,743.28 = 138,668.14/x
  3. Step 3: Cross multiply
    159,196.78x = 239,743.28 × 138,668.14
  4. Step 4: Simplify right side
    159,196.78x = 33,244,754,715.10
  5. Step 5: Solve for x
    x = 33,244,754,715.10/159,196.78
  6. Step 6: Final answer
    x = 208,828.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.