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Finding the Fourth Proportional to 268,138.80, 402,208.20 and 101,905.20

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Solution

The fourth proportional to 268,138.80, 402,208.20 and 101,905.20 is: 152,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,138.80 : 402,208.20 = 101,905.20 : x
  2. Step 2: Convert to fraction form
    268,138.80/402,208.20 = 101,905.20/x
  3. Step 3: Cross multiply
    268,138.80x = 402,208.20 × 101,905.20
  4. Step 4: Simplify right side
    268,138.80x = 40,987,107,062.64
  5. Step 5: Solve for x
    x = 40,987,107,062.64/268,138.80
  6. Step 6: Final answer
    x = 152,857.80

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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.