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Finding the Fourth Proportional to 196,139.64, 294,253.17 and 71,480.64

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Solution

The fourth proportional to 196,139.64, 294,253.17 and 71,480.64 is: 107,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,139.64 : 294,253.17 = 71,480.64 : x
  2. Step 2: Convert to fraction form
    196,139.64/294,253.17 = 71,480.64/x
  3. Step 3: Cross multiply
    196,139.64x = 294,253.17 × 71,480.64
  4. Step 4: Simplify right side
    196,139.64x = 21,033,404,913.63
  5. Step 5: Solve for x
    x = 21,033,404,913.63/196,139.64
  6. Step 6: Final answer
    x = 107,236.89

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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.