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Finding the Fourth Proportional to 137,578.86, 189,696.78 and 127,376.55

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Solution

The fourth proportional to 137,578.86, 189,696.78 and 127,376.55 is: 175,629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,578.86 : 189,696.78 = 127,376.55 : x
  2. Step 2: Convert to fraction form
    137,578.86/189,696.78 = 127,376.55/x
  3. Step 3: Cross multiply
    137,578.86x = 189,696.78 × 127,376.55
  4. Step 4: Simplify right side
    137,578.86x = 24,162,921,382.51
  5. Step 5: Solve for x
    x = 24,162,921,382.51/137,578.86
  6. Step 6: Final answer
    x = 175,629.61

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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.