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Finding the Fourth Proportional to 223,956.80, 336,064.80 and 83,729.60

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Solution

The fourth proportional to 223,956.80, 336,064.80 and 83,729.60 is: 125,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,956.80 : 336,064.80 = 83,729.60 : x
  2. Step 2: Convert to fraction form
    223,956.80/336,064.80 = 83,729.60/x
  3. Step 3: Cross multiply
    223,956.80x = 336,064.80 × 83,729.60
  4. Step 4: Simplify right side
    223,956.80x = 28,138,571,278.08
  5. Step 5: Solve for x
    x = 28,138,571,278.08/223,956.80
  6. Step 6: Final answer
    x = 125,642.85

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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.