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Finding the Fourth Proportional to 133,397.40, 200,031.30 and 74,170.20

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Solution

The fourth proportional to 133,397.40, 200,031.30 and 74,170.20 is: 111,219.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,397.40 : 200,031.30 = 74,170.20 : x
  2. Step 2: Convert to fraction form
    133,397.40/200,031.30 = 74,170.20/x
  3. Step 3: Cross multiply
    133,397.40x = 200,031.30 × 74,170.20
  4. Step 4: Simplify right side
    133,397.40x = 14,836,361,527.26
  5. Step 5: Solve for x
    x = 14,836,361,527.26/133,397.40
  6. Step 6: Final answer
    x = 111,219.27

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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.