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Finding the Fourth Proportional to 133,820.61, 200,731.26 and 45,136.34

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Solution

The fourth proportional to 133,820.61, 200,731.26 and 45,136.34 is: 67,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,820.61 : 200,731.26 = 45,136.34 : x
  2. Step 2: Convert to fraction form
    133,820.61/200,731.26 = 45,136.34/x
  3. Step 3: Cross multiply
    133,820.61x = 200,731.26 × 45,136.34
  4. Step 4: Simplify right side
    133,820.61x = 9,060,274,318.34
  5. Step 5: Solve for x
    x = 9,060,274,318.34/133,820.61
  6. Step 6: Final answer
    x = 67,704.63

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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.