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Finding the Fourth Proportional to 219,891.40, 329,772.30 and 86,727.40

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Solution

The fourth proportional to 219,891.40, 329,772.30 and 86,727.40 is: 130,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,891.40 : 329,772.30 = 86,727.40 : x
  2. Step 2: Convert to fraction form
    219,891.40/329,772.30 = 86,727.40/x
  3. Step 3: Cross multiply
    219,891.40x = 329,772.30 × 86,727.40
  4. Step 4: Simplify right side
    219,891.40x = 28,600,294,171.02
  5. Step 5: Solve for x
    x = 28,600,294,171.02/219,891.40
  6. Step 6: Final answer
    x = 130,065.54

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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.