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Finding the Fourth Proportional to 159,684.32, 239,528.76 and 76,558.88

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Solution

The fourth proportional to 159,684.32, 239,528.76 and 76,558.88 is: 114,839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,684.32 : 239,528.76 = 76,558.88 : x
  2. Step 2: Convert to fraction form
    159,684.32/239,528.76 = 76,558.88/x
  3. Step 3: Cross multiply
    159,684.32x = 239,528.76 × 76,558.88
  4. Step 4: Simplify right side
    159,684.32x = 18,338,053,593.39
  5. Step 5: Solve for x
    x = 18,338,053,593.39/159,684.32
  6. Step 6: Final answer
    x = 114,839.41

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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.