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Finding the Fourth Proportional to 198,470.86, 273,891.71 and 107,827.54

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Solution

The fourth proportional to 198,470.86, 273,891.71 and 107,827.54 is: 148,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,470.86 : 273,891.71 = 107,827.54 : x
  2. Step 2: Convert to fraction form
    198,470.86/273,891.71 = 107,827.54/x
  3. Step 3: Cross multiply
    198,470.86x = 273,891.71 × 107,827.54
  4. Step 4: Simplify right side
    198,470.86x = 29,533,068,900.53
  5. Step 5: Solve for x
    x = 29,533,068,900.53/198,470.86
  6. Step 6: Final answer
    x = 148,803.05

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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.