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Finding the Fourth Proportional to 137,891.56, 190,310.88 and 84,207.72

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Solution

The fourth proportional to 137,891.56, 190,310.88 and 84,207.72 is: 116,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,891.56 : 190,310.88 = 84,207.72 : x
  2. Step 2: Convert to fraction form
    137,891.56/190,310.88 = 84,207.72/x
  3. Step 3: Cross multiply
    137,891.56x = 190,310.88 × 84,207.72
  4. Step 4: Simplify right side
    137,891.56x = 16,025,645,295.99
  5. Step 5: Solve for x
    x = 16,025,645,295.99/137,891.56
  6. Step 6: Final answer
    x = 116,219.19

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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.