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Finding the Fourth Proportional to 100,419.52, 150,625.62 and 30,297

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Solution

The fourth proportional to 100,419.52, 150,625.62 and 30,297 is: 45,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,419.52 : 150,625.62 = 30,297 : x
  2. Step 2: Convert to fraction form
    100,419.52/150,625.62 = 30,297/x
  3. Step 3: Cross multiply
    100,419.52x = 150,625.62 × 30,297
  4. Step 4: Simplify right side
    100,419.52x = 4,563,504,409.14
  5. Step 5: Solve for x
    x = 4,563,504,409.14/100,419.52
  6. Step 6: Final answer
    x = 45,444.40

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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.