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Finding the Fourth Proportional to 268,013.68, 402,029.40 and 134,821.36

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Solution

The fourth proportional to 268,013.68, 402,029.40 and 134,821.36 is: 202,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,013.68 : 402,029.40 = 134,821.36 : x
  2. Step 2: Convert to fraction form
    268,013.68/402,029.40 = 134,821.36/x
  3. Step 3: Cross multiply
    268,013.68x = 402,029.40 × 134,821.36
  4. Step 4: Simplify right side
    268,013.68x = 54,202,150,467.98
  5. Step 5: Solve for x
    x = 54,202,150,467.98/268,013.68
  6. Step 6: Final answer
    x = 202,236.51

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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.