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Finding the Fourth Proportional to 30,138.34, 45,206.91 and 9,361.78

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Solution

The fourth proportional to 30,138.34, 45,206.91 and 9,361.78 is: 14,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.34 : 45,206.91 = 9,361.78 : x
  2. Step 2: Convert to fraction form
    30,138.34/45,206.91 = 9,361.78/x
  3. Step 3: Cross multiply
    30,138.34x = 45,206.91 × 9,361.78
  4. Step 4: Simplify right side
    30,138.34x = 423,217,145.90
  5. Step 5: Solve for x
    x = 423,217,145.90/30,138.34
  6. Step 6: Final answer
    x = 14,042.48

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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.