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Finding the Fourth Proportional to 133,840.42, 200,492.96 and 80,502.94

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Solution

The fourth proportional to 133,840.42, 200,492.96 and 80,502.94 is: 120,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,840.42 : 200,492.96 = 80,502.94 : x
  2. Step 2: Convert to fraction form
    133,840.42/200,492.96 = 80,502.94/x
  3. Step 3: Cross multiply
    133,840.42x = 200,492.96 × 80,502.94
  4. Step 4: Simplify right side
    133,840.42x = 16,140,272,729.30
  5. Step 5: Solve for x
    x = 16,140,272,729.30/133,840.42
  6. Step 6: Final answer
    x = 120,593.41

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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.