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Finding the Fourth Proportional to 187,704, 281,601.36 and 76,896

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Solution

The fourth proportional to 187,704, 281,601.36 and 76,896 is: 115,362.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,704 : 281,601.36 = 76,896 : x
  2. Step 2: Convert to fraction form
    187,704/281,601.36 = 76,896/x
  3. Step 3: Cross multiply
    187,704x = 281,601.36 × 76,896
  4. Step 4: Simplify right side
    187,704x = 21,654,018,178.56
  5. Step 5: Solve for x
    x = 21,654,018,178.56/187,704
  6. Step 6: Final answer
    x = 115,362.58

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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.