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Finding the Fourth Proportional to 208,077.18, 311,928.39 and 74,863.78

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Solution

The fourth proportional to 208,077.18, 311,928.39 and 74,863.78 is: 112,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,077.18 : 311,928.39 = 74,863.78 : x
  2. Step 2: Convert to fraction form
    208,077.18/311,928.39 = 74,863.78/x
  3. Step 3: Cross multiply
    208,077.18x = 311,928.39 × 74,863.78
  4. Step 4: Simplify right side
    208,077.18x = 23,352,138,364.71
  5. Step 5: Solve for x
    x = 23,352,138,364.71/208,077.18
  6. Step 6: Final answer
    x = 112,228.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.