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Finding the Fourth Proportional to 268,133.36, 402,199.66 and 68,453.78

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Solution

The fourth proportional to 268,133.36, 402,199.66 and 68,453.78 is: 102,680.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,133.36 : 402,199.66 = 68,453.78 : x
  2. Step 2: Convert to fraction form
    268,133.36/402,199.66 = 68,453.78/x
  3. Step 3: Cross multiply
    268,133.36x = 402,199.66 × 68,453.78
  4. Step 4: Simplify right side
    268,133.36x = 27,532,085,116.28
  5. Step 5: Solve for x
    x = 27,532,085,116.28/268,133.36
  6. Step 6: Final answer
    x = 102,680.57

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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.