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Finding the Fourth Proportional to 158,689.60, 218,984.32 and 87,067.84

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Solution

The fourth proportional to 158,689.60, 218,984.32 and 87,067.84 is: 120,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,689.60 : 218,984.32 = 87,067.84 : x
  2. Step 2: Convert to fraction form
    158,689.60/218,984.32 = 87,067.84/x
  3. Step 3: Cross multiply
    158,689.60x = 218,984.32 × 87,067.84
  4. Step 4: Simplify right side
    158,689.60x = 19,066,491,736.27
  5. Step 5: Solve for x
    x = 19,066,491,736.27/158,689.60
  6. Step 6: Final answer
    x = 120,149.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.