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Finding the Fourth Proportional to 137,481.66, 189,724.44 and 77,052.29

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Solution

The fourth proportional to 137,481.66, 189,724.44 and 77,052.29 is: 106,332.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,481.66 : 189,724.44 = 77,052.29 : x
  2. Step 2: Convert to fraction form
    137,481.66/189,724.44 = 77,052.29/x
  3. Step 3: Cross multiply
    137,481.66x = 189,724.44 × 77,052.29
  4. Step 4: Simplify right side
    137,481.66x = 14,618,702,570.97
  5. Step 5: Solve for x
    x = 14,618,702,570.97/137,481.66
  6. Step 6: Final answer
    x = 106,332.02

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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.