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Finding the Fourth Proportional to 158,284.82, 218,424.67 and 86,651.06

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Solution

The fourth proportional to 158,284.82, 218,424.67 and 86,651.06 is: 119,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,284.82 : 218,424.67 = 86,651.06 : x
  2. Step 2: Convert to fraction form
    158,284.82/218,424.67 = 86,651.06/x
  3. Step 3: Cross multiply
    158,284.82x = 218,424.67 × 86,651.06
  4. Step 4: Simplify right side
    158,284.82x = 18,926,727,876.90
  5. Step 5: Solve for x
    x = 18,926,727,876.90/158,284.82
  6. Step 6: Final answer
    x = 119,573.86

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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.