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Finding the Fourth Proportional to 189,663.44, 261,753.63 and 103,635.50

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Solution

The fourth proportional to 189,663.44, 261,753.63 and 103,635.50 is: 143,026.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,663.44 : 261,753.63 = 103,635.50 : x
  2. Step 2: Convert to fraction form
    189,663.44/261,753.63 = 103,635.50/x
  3. Step 3: Cross multiply
    189,663.44x = 261,753.63 × 103,635.50
  4. Step 4: Simplify right side
    189,663.44x = 27,126,967,013.10
  5. Step 5: Solve for x
    x = 27,126,967,013.10/189,663.44
  6. Step 6: Final answer
    x = 143,026.87

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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.