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Finding the Fourth Proportional to 100,427.52, 150,637.62 and 30,305

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Solution

The fourth proportional to 100,427.52, 150,637.62 and 30,305 is: 45,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,427.52 : 150,637.62 = 30,305 : x
  2. Step 2: Convert to fraction form
    100,427.52/150,637.62 = 30,305/x
  3. Step 3: Cross multiply
    100,427.52x = 150,637.62 × 30,305
  4. Step 4: Simplify right side
    100,427.52x = 4,565,073,074.10
  5. Step 5: Solve for x
    x = 4,565,073,074.10/100,427.52
  6. Step 6: Final answer
    x = 45,456.40

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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.