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Finding the Fourth Proportional to 158,186.82, 218,297.82 and 86,566.86

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Solution

The fourth proportional to 158,186.82, 218,297.82 and 86,566.86 is: 119,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,186.82 : 218,297.82 = 86,566.86 : x
  2. Step 2: Convert to fraction form
    158,186.82/218,297.82 = 86,566.86/x
  3. Step 3: Cross multiply
    158,186.82x = 218,297.82 × 86,566.86
  4. Step 4: Simplify right side
    158,186.82x = 18,897,356,822.25
  5. Step 5: Solve for x
    x = 18,897,356,822.25/158,186.82
  6. Step 6: Final answer
    x = 119,462.27

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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.