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Finding the Fourth Proportional to 236,213.28, 354,318.42 and 86,464

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Solution

The fourth proportional to 236,213.28, 354,318.42 and 86,464 is: 129,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,213.28 : 354,318.42 = 86,464 : x
  2. Step 2: Convert to fraction form
    236,213.28/354,318.42 = 86,464/x
  3. Step 3: Cross multiply
    236,213.28x = 354,318.42 × 86,464
  4. Step 4: Simplify right side
    236,213.28x = 30,635,787,866.88
  5. Step 5: Solve for x
    x = 30,635,787,866.88/236,213.28
  6. Step 6: Final answer
    x = 129,695.45

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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.