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Finding the Fourth Proportional to 100,298.78, 150,447.88 and 25,418.70

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Solution

The fourth proportional to 100,298.78, 150,447.88 and 25,418.70 is: 38,127.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,298.78 : 150,447.88 = 25,418.70 : x
  2. Step 2: Convert to fraction form
    100,298.78/150,447.88 = 25,418.70/x
  3. Step 3: Cross multiply
    100,298.78x = 150,447.88 × 25,418.70
  4. Step 4: Simplify right side
    100,298.78x = 3,824,189,527.36
  5. Step 5: Solve for x
    x = 3,824,189,527.36/100,298.78
  6. Step 6: Final answer
    x = 38,127.98

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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.