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Finding the Fourth Proportional to 491,069, 736,601.40 and 136,082

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Solution

The fourth proportional to 491,069, 736,601.40 and 136,082 is: 204,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,069 : 736,601.40 = 136,082 : x
  2. Step 2: Convert to fraction form
    491,069/736,601.40 = 136,082/x
  3. Step 3: Cross multiply
    491,069x = 736,601.40 × 136,082
  4. Step 4: Simplify right side
    491,069x = 100,238,191,714.80
  5. Step 5: Solve for x
    x = 100,238,191,714.80/491,069
  6. Step 6: Final answer
    x = 204,122.42

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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.