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Finding the Fourth Proportional to 137,528.60, 205,904.10 and 133,640.60

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Solution

The fourth proportional to 137,528.60, 205,904.10 and 133,640.60 is: 200,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,528.60 : 205,904.10 = 133,640.60 : x
  2. Step 2: Convert to fraction form
    137,528.60/205,904.10 = 133,640.60/x
  3. Step 3: Cross multiply
    137,528.60x = 205,904.10 × 133,640.60
  4. Step 4: Simplify right side
    137,528.60x = 27,517,147,466.46
  5. Step 5: Solve for x
    x = 27,517,147,466.46/137,528.60
  6. Step 6: Final answer
    x = 200,083.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.