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Finding the Fourth Proportional to 135,678.78, 187,214.29 and 75,239.82

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Solution

The fourth proportional to 135,678.78, 187,214.29 and 75,239.82 is: 103,818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,678.78 : 187,214.29 = 75,239.82 : x
  2. Step 2: Convert to fraction form
    135,678.78/187,214.29 = 75,239.82/x
  3. Step 3: Cross multiply
    135,678.78x = 187,214.29 × 75,239.82
  4. Step 4: Simplify right side
    135,678.78x = 14,085,969,292.93
  5. Step 5: Solve for x
    x = 14,085,969,292.93/135,678.78
  6. Step 6: Final answer
    x = 103,818.51

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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.