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Finding the Fourth Proportional to 137,583.28, 189,866.96 and 80,221.06

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Solution

The fourth proportional to 137,583.28, 189,866.96 and 80,221.06 is: 110,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,583.28 : 189,866.96 = 80,221.06 : x
  2. Step 2: Convert to fraction form
    137,583.28/189,866.96 = 80,221.06/x
  3. Step 3: Cross multiply
    137,583.28x = 189,866.96 × 80,221.06
  4. Step 4: Simplify right side
    137,583.28x = 15,231,328,790.18
  5. Step 5: Solve for x
    x = 15,231,328,790.18/137,583.28
  6. Step 6: Final answer
    x = 110,706.25

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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.