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Finding the Fourth Proportional to 133,986.34, 200,978.29 and 40,492.09

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Solution

The fourth proportional to 133,986.34, 200,978.29 and 40,492.09 is: 60,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,986.34 : 200,978.29 = 40,492.09 : x
  2. Step 2: Convert to fraction form
    133,986.34/200,978.29 = 40,492.09/x
  3. Step 3: Cross multiply
    133,986.34x = 200,978.29 × 40,492.09
  4. Step 4: Simplify right side
    133,986.34x = 8,138,031,006.73
  5. Step 5: Solve for x
    x = 8,138,031,006.73/133,986.34
  6. Step 6: Final answer
    x = 60,737.77

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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.