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Finding the Fourth Proportional to 189,663.84, 261,754.20 and 103,635.90

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Solution

The fourth proportional to 189,663.84, 261,754.20 and 103,635.90 is: 143,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,663.84 : 261,754.20 = 103,635.90 : x
  2. Step 2: Convert to fraction form
    189,663.84/261,754.20 = 103,635.90/x
  3. Step 3: Cross multiply
    189,663.84x = 261,754.20 × 103,635.90
  4. Step 4: Simplify right side
    189,663.84x = 27,127,132,095.78
  5. Step 5: Solve for x
    x = 27,127,132,095.78/189,663.84
  6. Step 6: Final answer
    x = 143,027.43

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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.