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Finding the Fourth Proportional to 137,235.66, 189,362.34 and 80,657.94

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Solution

The fourth proportional to 137,235.66, 189,362.34 and 80,657.94 is: 111,294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,235.66 : 189,362.34 = 80,657.94 : x
  2. Step 2: Convert to fraction form
    137,235.66/189,362.34 = 80,657.94/x
  3. Step 3: Cross multiply
    137,235.66x = 189,362.34 × 80,657.94
  4. Step 4: Simplify right side
    137,235.66x = 15,273,576,257.98
  5. Step 5: Solve for x
    x = 15,273,576,257.98/137,235.66
  6. Step 6: Final answer
    x = 111,294.52

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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.