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Finding the Fourth Proportional to 236,215.28, 354,321.42 and 86,466

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Solution

The fourth proportional to 236,215.28, 354,321.42 and 86,466 is: 129,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,215.28 : 354,321.42 = 86,466 : x
  2. Step 2: Convert to fraction form
    236,215.28/354,321.42 = 86,466/x
  3. Step 3: Cross multiply
    236,215.28x = 354,321.42 × 86,466
  4. Step 4: Simplify right side
    236,215.28x = 30,636,755,901.72
  5. Step 5: Solve for x
    x = 30,636,755,901.72/236,215.28
  6. Step 6: Final answer
    x = 129,698.45

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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.