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Finding the Fourth Proportional to 142,209.54, 196,248 and 77,678.82

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Solution

The fourth proportional to 142,209.54, 196,248 and 77,678.82 is: 107,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,209.54 : 196,248 = 77,678.82 : x
  2. Step 2: Convert to fraction form
    142,209.54/196,248 = 77,678.82/x
  3. Step 3: Cross multiply
    142,209.54x = 196,248 × 77,678.82
  4. Step 4: Simplify right side
    142,209.54x = 15,244,313,067.36
  5. Step 5: Solve for x
    x = 15,244,313,067.36/142,209.54
  6. Step 6: Final answer
    x = 107,196.14

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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.