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Finding the Fourth Proportional to 136,578.78, 188,464.98 and 76,143.78

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Solution

The fourth proportional to 136,578.78, 188,464.98 and 76,143.78 is: 105,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,578.78 : 188,464.98 = 76,143.78 : x
  2. Step 2: Convert to fraction form
    136,578.78/188,464.98 = 76,143.78/x
  3. Step 3: Cross multiply
    136,578.78x = 188,464.98 × 76,143.78
  4. Step 4: Simplify right side
    136,578.78x = 14,350,435,974.82
  5. Step 5: Solve for x
    x = 14,350,435,974.82/136,578.78
  6. Step 6: Final answer
    x = 105,070.76

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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.