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Finding the Fourth Proportional to 111,663.36, 166,976.64 and 86,417.28

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Solution

The fourth proportional to 111,663.36, 166,976.64 and 86,417.28 is: 129,224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,663.36 : 166,976.64 = 86,417.28 : x
  2. Step 2: Convert to fraction form
    111,663.36/166,976.64 = 86,417.28/x
  3. Step 3: Cross multiply
    111,663.36x = 166,976.64 × 86,417.28
  4. Step 4: Simplify right side
    111,663.36x = 14,429,667,052.34
  5. Step 5: Solve for x
    x = 14,429,667,052.34/111,663.36
  6. Step 6: Final answer
    x = 129,224.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.