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Finding the Fourth Proportional to 158,284.57, 218,424.32 and 86,650.81

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Solution

The fourth proportional to 158,284.57, 218,424.32 and 86,650.81 is: 119,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,284.57 : 218,424.32 = 86,650.81 : x
  2. Step 2: Convert to fraction form
    158,284.57/218,424.32 = 86,650.81/x
  3. Step 3: Cross multiply
    158,284.57x = 218,424.32 × 86,650.81
  4. Step 4: Simplify right side
    158,284.57x = 18,926,644,251.70
  5. Step 5: Solve for x
    x = 18,926,644,251.70/158,284.57
  6. Step 6: Final answer
    x = 119,573.53

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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.