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Finding the Fourth Proportional to 215,981.90, 323,875.65 and 82,817.90

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Solution

The fourth proportional to 215,981.90, 323,875.65 and 82,817.90 is: 124,189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,981.90 : 323,875.65 = 82,817.90 : x
  2. Step 2: Convert to fraction form
    215,981.90/323,875.65 = 82,817.90/x
  3. Step 3: Cross multiply
    215,981.90x = 323,875.65 × 82,817.90
  4. Step 4: Simplify right side
    215,981.90x = 26,822,701,194.14
  5. Step 5: Solve for x
    x = 26,822,701,194.14/215,981.90
  6. Step 6: Final answer
    x = 124,189.58

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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.