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Finding the Fourth Proportional to 99,286, 148,929 and 25,414

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Solution

The fourth proportional to 99,286, 148,929 and 25,414 is: 38,121

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,286 : 148,929 = 25,414 : x
  2. Step 2: Convert to fraction form
    99,286/148,929 = 25,414/x
  3. Step 3: Cross multiply
    99,286x = 148,929 × 25,414
  4. Step 4: Simplify right side
    99,286x = 3,784,881,606
  5. Step 5: Solve for x
    x = 3,784,881,606/99,286
  6. Step 6: Final answer
    x = 38,121

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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.