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Finding the Fourth Proportional to 254,353.50, 381,537.54 and 67,365

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Solution

The fourth proportional to 254,353.50, 381,537.54 and 67,365 is: 101,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,353.50 : 381,537.54 = 67,365 : x
  2. Step 2: Convert to fraction form
    254,353.50/381,537.54 = 67,365/x
  3. Step 3: Cross multiply
    254,353.50x = 381,537.54 × 67,365
  4. Step 4: Simplify right side
    254,353.50x = 25,702,276,382.10
  5. Step 5: Solve for x
    x = 25,702,276,382.10/254,353.50
  6. Step 6: Final answer
    x = 101,049.43

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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.