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Finding the Fourth Proportional to 158,136.78, 218,228.61 and 86,516.85

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Solution

The fourth proportional to 158,136.78, 218,228.61 and 86,516.85 is: 119,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,136.78 : 218,228.61 = 86,516.85 : x
  2. Step 2: Convert to fraction form
    158,136.78/218,228.61 = 86,516.85/x
  3. Step 3: Cross multiply
    158,136.78x = 218,228.61 × 86,516.85
  4. Step 4: Simplify right side
    158,136.78x = 18,880,451,917.08
  5. Step 5: Solve for x
    x = 18,880,451,917.08/158,136.78
  6. Step 6: Final answer
    x = 119,393.17

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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.