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Finding the Fourth Proportional to 186,204, 256,959.36 and 101,319.60

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Solution

The fourth proportional to 186,204, 256,959.36 and 101,319.60 is: 139,819.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,204 : 256,959.36 = 101,319.60 : x
  2. Step 2: Convert to fraction form
    186,204/256,959.36 = 101,319.60/x
  3. Step 3: Cross multiply
    186,204x = 256,959.36 × 101,319.60
  4. Step 4: Simplify right side
    186,204x = 26,035,019,571.46
  5. Step 5: Solve for x
    x = 26,035,019,571.46/186,204
  6. Step 6: Final answer
    x = 139,819.87

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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.