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Finding the Fourth Proportional to 125,243.82, 187,861.10 and 54,184.34

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Solution

The fourth proportional to 125,243.82, 187,861.10 and 54,184.34 is: 81,274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,243.82 : 187,861.10 = 54,184.34 : x
  2. Step 2: Convert to fraction form
    125,243.82/187,861.10 = 54,184.34/x
  3. Step 3: Cross multiply
    125,243.82x = 187,861.10 × 54,184.34
  4. Step 4: Simplify right side
    125,243.82x = 10,179,129,913.91
  5. Step 5: Solve for x
    x = 10,179,129,913.91/125,243.82
  6. Step 6: Final answer
    x = 81,274.51

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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.