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Finding the Fourth Proportional to 253,201.95, 379,989.54 and 120,082.59

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Solution

The fourth proportional to 253,201.95, 379,989.54 and 120,082.59 is: 180,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,201.95 : 379,989.54 = 120,082.59 : x
  2. Step 2: Convert to fraction form
    253,201.95/379,989.54 = 120,082.59/x
  3. Step 3: Cross multiply
    253,201.95x = 379,989.54 × 120,082.59
  4. Step 4: Simplify right side
    253,201.95x = 45,630,128,136.11
  5. Step 5: Solve for x
    x = 45,630,128,136.11/253,201.95
  6. Step 6: Final answer
    x = 180,212.39

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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.