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Finding the Fourth Proportional to 100,298.88, 150,448.50 and 25,419

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Solution

The fourth proportional to 100,298.88, 150,448.50 and 25,419 is: 38,128.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,298.88 : 150,448.50 = 25,419 : x
  2. Step 2: Convert to fraction form
    100,298.88/150,448.50 = 25,419/x
  3. Step 3: Cross multiply
    100,298.88x = 150,448.50 × 25,419
  4. Step 4: Simplify right side
    100,298.88x = 3,824,250,421.50
  5. Step 5: Solve for x
    x = 3,824,250,421.50/100,298.88
  6. Step 6: Final answer
    x = 38,128.55

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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.