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Finding the Fourth Proportional to 77,654, 116,481 and 19,286

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Solution

The fourth proportional to 77,654, 116,481 and 19,286 is: 28,929

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,654 : 116,481 = 19,286 : x
  2. Step 2: Convert to fraction form
    77,654/116,481 = 19,286/x
  3. Step 3: Cross multiply
    77,654x = 116,481 × 19,286
  4. Step 4: Simplify right side
    77,654x = 2,246,452,566
  5. Step 5: Solve for x
    x = 2,246,452,566/77,654
  6. Step 6: Final answer
    x = 28,929

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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.