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Finding the Fourth Proportional to 135,695.70, 187,282.49 and 75,285.81

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Solution

The fourth proportional to 135,695.70, 187,282.49 and 75,285.81 is: 103,906.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,695.70 : 187,282.49 = 75,285.81 : x
  2. Step 2: Convert to fraction form
    135,695.70/187,282.49 = 75,285.81/x
  3. Step 3: Cross multiply
    135,695.70x = 187,282.49 × 75,285.81
  4. Step 4: Simplify right side
    135,695.70x = 14,099,713,958.47
  5. Step 5: Solve for x
    x = 14,099,713,958.47/135,695.70
  6. Step 6: Final answer
    x = 103,906.86

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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.