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Finding the Fourth Proportional to 135,793.86, 187,386.78 and 75,364.54

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Solution

The fourth proportional to 135,793.86, 187,386.78 and 75,364.54 is: 103,998.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,793.86 : 187,386.78 = 75,364.54 : x
  2. Step 2: Convert to fraction form
    135,793.86/187,386.78 = 75,364.54/x
  3. Step 3: Cross multiply
    135,793.86x = 187,386.78 × 75,364.54
  4. Step 4: Simplify right side
    135,793.86x = 14,122,318,290.93
  5. Step 5: Solve for x
    x = 14,122,318,290.93/135,793.86
  6. Step 6: Final answer
    x = 103,998.21

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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.