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Finding the Fourth Proportional to 136,639.09, 204,980.37 and 57,754

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Solution

The fourth proportional to 136,639.09, 204,980.37 and 57,754 is: 86,640.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,639.09 : 204,980.37 = 57,754 : x
  2. Step 2: Convert to fraction form
    136,639.09/204,980.37 = 57,754/x
  3. Step 3: Cross multiply
    136,639.09x = 204,980.37 × 57,754
  4. Step 4: Simplify right side
    136,639.09x = 11,838,436,288.98
  5. Step 5: Solve for x
    x = 11,838,436,288.98/136,639.09
  6. Step 6: Final answer
    x = 86,640.19

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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.