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Finding the Fourth Proportional to 158,084.46, 218,161.78 and 86,464.49

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Solution

The fourth proportional to 158,084.46, 218,161.78 and 86,464.49 is: 119,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,084.46 : 218,161.78 = 86,464.49 : x
  2. Step 2: Convert to fraction form
    158,084.46/218,161.78 = 86,464.49/x
  3. Step 3: Cross multiply
    158,084.46x = 218,161.78 × 86,464.49
  4. Step 4: Simplify right side
    158,084.46x = 18,863,246,283.63
  5. Step 5: Solve for x
    x = 18,863,246,283.63/158,084.46
  6. Step 6: Final answer
    x = 119,323.85

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