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Finding the Fourth Proportional to 135,688.62, 187,261.77 and 75,278.69

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Solution

The fourth proportional to 135,688.62, 187,261.77 and 75,278.69 is: 103,890.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,688.62 : 187,261.77 = 75,278.69 : x
  2. Step 2: Convert to fraction form
    135,688.62/187,261.77 = 75,278.69/x
  3. Step 3: Cross multiply
    135,688.62x = 187,261.77 × 75,278.69
  4. Step 4: Simplify right side
    135,688.62x = 14,096,820,732.68
  5. Step 5: Solve for x
    x = 14,096,820,732.68/135,688.62
  6. Step 6: Final answer
    x = 103,890.96

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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.