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Finding the Fourth Proportional to 219,928.80, 329,749.20 and 86,728.80

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Solution

The fourth proportional to 219,928.80, 329,749.20 and 86,728.80 is: 130,036.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,928.80 : 329,749.20 = 86,728.80 : x
  2. Step 2: Convert to fraction form
    219,928.80/329,749.20 = 86,728.80/x
  3. Step 3: Cross multiply
    219,928.80x = 329,749.20 × 86,728.80
  4. Step 4: Simplify right side
    219,928.80x = 28,598,752,416.96
  5. Step 5: Solve for x
    x = 28,598,752,416.96/219,928.80
  6. Step 6: Final answer
    x = 130,036.41

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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.