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Finding the Fourth Proportional to 137,466.87, 189,247.64 and 123,295.11

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Solution

The fourth proportional to 137,466.87, 189,247.64 and 123,295.11 is: 169,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,466.87 : 189,247.64 = 123,295.11 : x
  2. Step 2: Convert to fraction form
    137,466.87/189,247.64 = 123,295.11/x
  3. Step 3: Cross multiply
    137,466.87x = 189,247.64 × 123,295.11
  4. Step 4: Simplify right side
    137,466.87x = 23,333,307,974.56
  5. Step 5: Solve for x
    x = 23,333,307,974.56/137,466.87
  6. Step 6: Final answer
    x = 169,737.68

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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.