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Finding the Fourth Proportional to 158,178.95, 218,286.94 and 86,558.98

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Solution

The fourth proportional to 158,178.95, 218,286.94 and 86,558.98 is: 119,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,178.95 : 218,286.94 = 86,558.98 : x
  2. Step 2: Convert to fraction form
    158,178.95/218,286.94 = 86,558.98/x
  3. Step 3: Cross multiply
    158,178.95x = 218,286.94 × 86,558.98
  4. Step 4: Simplify right side
    158,178.95x = 18,894,694,873.72
  5. Step 5: Solve for x
    x = 18,894,694,873.72/158,178.95
  6. Step 6: Final answer
    x = 119,451.39

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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.