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Finding the Fourth Proportional to 219,686.82, 329,303.97 and 86,513.10

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Solution

The fourth proportional to 219,686.82, 329,303.97 and 86,513.10 is: 129,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,686.82 : 329,303.97 = 86,513.10 : x
  2. Step 2: Convert to fraction form
    219,686.82/329,303.97 = 86,513.10/x
  3. Step 3: Cross multiply
    219,686.82x = 329,303.97 × 86,513.10
  4. Step 4: Simplify right side
    219,686.82x = 28,489,107,287.01
  5. Step 5: Solve for x
    x = 28,489,107,287.01/219,686.82
  6. Step 6: Final answer
    x = 129,680.55

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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.