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Finding the Fourth Proportional to 99,276, 148,914 and 25,404

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Solution

The fourth proportional to 99,276, 148,914 and 25,404 is: 38,106

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,276 : 148,914 = 25,404 : x
  2. Step 2: Convert to fraction form
    99,276/148,914 = 25,404/x
  3. Step 3: Cross multiply
    99,276x = 148,914 × 25,404
  4. Step 4: Simplify right side
    99,276x = 3,783,011,256
  5. Step 5: Solve for x
    x = 3,783,011,256/99,276
  6. Step 6: Final answer
    x = 38,106

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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.