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Finding the Fourth Proportional to 203,860.32, 305,903.88 and 77,584.56

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Solution

The fourth proportional to 203,860.32, 305,903.88 and 77,584.56 is: 116,420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,860.32 : 305,903.88 = 77,584.56 : x
  2. Step 2: Convert to fraction form
    203,860.32/305,903.88 = 77,584.56/x
  3. Step 3: Cross multiply
    203,860.32x = 305,903.88 × 77,584.56
  4. Step 4: Simplify right side
    203,860.32x = 23,733,417,932.09
  5. Step 5: Solve for x
    x = 23,733,417,932.09/203,860.32
  6. Step 6: Final answer
    x = 116,420.00

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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.