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Finding the Fourth Proportional to 158,234.85, 218,364.32 and 86,619.40

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Solution

The fourth proportional to 158,234.85, 218,364.32 and 86,619.40 is: 119,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,234.85 : 218,364.32 = 86,619.40 : x
  2. Step 2: Convert to fraction form
    158,234.85/218,364.32 = 86,619.40/x
  3. Step 3: Cross multiply
    158,234.85x = 218,364.32 × 86,619.40
  4. Step 4: Simplify right side
    158,234.85x = 18,914,586,379.81
  5. Step 5: Solve for x
    x = 18,914,586,379.81/158,234.85
  6. Step 6: Final answer
    x = 119,534.90

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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.