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Finding the Fourth Proportional to 196,074, 294,154.74 and 71,415

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Solution

The fourth proportional to 196,074, 294,154.74 and 71,415 is: 107,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,074 : 294,154.74 = 71,415 : x
  2. Step 2: Convert to fraction form
    196,074/294,154.74 = 71,415/x
  3. Step 3: Cross multiply
    196,074x = 294,154.74 × 71,415
  4. Step 4: Simplify right side
    196,074x = 21,007,060,757.10
  5. Step 5: Solve for x
    x = 21,007,060,757.10/196,074
  6. Step 6: Final answer
    x = 107,138.43

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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.