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Finding the Fourth Proportional to 135,474.68, 187,046.34 and 84,564.92

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Solution

The fourth proportional to 135,474.68, 187,046.34 and 84,564.92 is: 116,756.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,474.68 : 187,046.34 = 84,564.92 : x
  2. Step 2: Convert to fraction form
    135,474.68/187,046.34 = 84,564.92/x
  3. Step 3: Cross multiply
    135,474.68x = 187,046.34 × 84,564.92
  4. Step 4: Simplify right side
    135,474.68x = 15,817,558,778.39
  5. Step 5: Solve for x
    x = 15,817,558,778.39/135,474.68
  6. Step 6: Final answer
    x = 116,756.57

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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.