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Finding the Fourth Proportional to 100,468.08, 150,703.20 and 38,124

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Solution

The fourth proportional to 100,468.08, 150,703.20 and 38,124 is: 57,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,468.08 : 150,703.20 = 38,124 : x
  2. Step 2: Convert to fraction form
    100,468.08/150,703.20 = 38,124/x
  3. Step 3: Cross multiply
    100,468.08x = 150,703.20 × 38,124
  4. Step 4: Simplify right side
    100,468.08x = 5,745,408,796.80
  5. Step 5: Solve for x
    x = 5,745,408,796.80/100,468.08
  6. Step 6: Final answer
    x = 57,186.41

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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.