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Finding the Fourth Proportional to 254,372.50, 381,566.04 and 67,384

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Solution

The fourth proportional to 254,372.50, 381,566.04 and 67,384 is: 101,077.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,372.50 : 381,566.04 = 67,384 : x
  2. Step 2: Convert to fraction form
    254,372.50/381,566.04 = 67,384/x
  3. Step 3: Cross multiply
    254,372.50x = 381,566.04 × 67,384
  4. Step 4: Simplify right side
    254,372.50x = 25,711,446,039.36
  5. Step 5: Solve for x
    x = 25,711,446,039.36/254,372.50
  6. Step 6: Final answer
    x = 101,077.93

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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.