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Finding the Fourth Proportional to 136,240, 205,639.65 and 136,240

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Solution

The fourth proportional to 136,240, 205,639.65 and 136,240 is: 205,639.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,240 : 205,639.65 = 136,240 : x
  2. Step 2: Convert to fraction form
    136,240/205,639.65 = 136,240/x
  3. Step 3: Cross multiply
    136,240x = 205,639.65 × 136,240
  4. Step 4: Simplify right side
    136,240x = 28,016,345,916
  5. Step 5: Solve for x
    x = 28,016,345,916/136,240
  6. Step 6: Final answer
    x = 205,639.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.