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Finding the Fourth Proportional to 153,311.28, 211,571.28 and 86,243.28

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Solution

The fourth proportional to 153,311.28, 211,571.28 and 86,243.28 is: 119,016.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,311.28 : 211,571.28 = 86,243.28 : x
  2. Step 2: Convert to fraction form
    153,311.28/211,571.28 = 86,243.28/x
  3. Step 3: Cross multiply
    153,311.28x = 211,571.28 × 86,243.28
  4. Step 4: Simplify right side
    153,311.28x = 18,246,601,141.00
  5. Step 5: Solve for x
    x = 18,246,601,141.00/153,311.28
  6. Step 6: Final answer
    x = 119,016.69

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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.