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Finding the Fourth Proportional to 219,817.20, 329,835.15 and 86,701.80

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Solution

The fourth proportional to 219,817.20, 329,835.15 and 86,701.80 is: 130,095.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,817.20 : 329,835.15 = 86,701.80 : x
  2. Step 2: Convert to fraction form
    219,817.20/329,835.15 = 86,701.80/x
  3. Step 3: Cross multiply
    219,817.20x = 329,835.15 × 86,701.80
  4. Step 4: Simplify right side
    219,817.20x = 28,597,301,208.27
  5. Step 5: Solve for x
    x = 28,597,301,208.27/219,817.20
  6. Step 6: Final answer
    x = 130,095.83

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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.