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Finding the Fourth Proportional to 100,288, 150,432 and 26,416

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Solution

The fourth proportional to 100,288, 150,432 and 26,416 is: 39,624

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,288 : 150,432 = 26,416 : x
  2. Step 2: Convert to fraction form
    100,288/150,432 = 26,416/x
  3. Step 3: Cross multiply
    100,288x = 150,432 × 26,416
  4. Step 4: Simplify right side
    100,288x = 3,973,811,712
  5. Step 5: Solve for x
    x = 3,973,811,712/100,288
  6. Step 6: Final answer
    x = 39,624

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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.