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Finding the Fourth Proportional to 196,467, 294,700.50 and 71,808

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Solution

The fourth proportional to 196,467, 294,700.50 and 71,808 is: 107,712

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,467 : 294,700.50 = 71,808 : x
  2. Step 2: Convert to fraction form
    196,467/294,700.50 = 71,808/x
  3. Step 3: Cross multiply
    196,467x = 294,700.50 × 71,808
  4. Step 4: Simplify right side
    196,467x = 21,161,853,504
  5. Step 5: Solve for x
    x = 21,161,853,504/196,467
  6. Step 6: Final answer
    x = 107,712

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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.