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Finding the Fourth Proportional to 251,513.94, 347,082.30 and 138,336.78

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Solution

The fourth proportional to 251,513.94, 347,082.30 and 138,336.78 is: 190,900.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,513.94 : 347,082.30 = 138,336.78 : x
  2. Step 2: Convert to fraction form
    251,513.94/347,082.30 = 138,336.78/x
  3. Step 3: Cross multiply
    251,513.94x = 347,082.30 × 138,336.78
  4. Step 4: Simplify right side
    251,513.94x = 48,014,247,776.99
  5. Step 5: Solve for x
    x = 48,014,247,776.99/251,513.94
  6. Step 6: Final answer
    x = 190,900.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.