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Finding the Fourth Proportional to 215,878.40, 323,817.60 and 68,115.20

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Solution

The fourth proportional to 215,878.40, 323,817.60 and 68,115.20 is: 102,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,878.40 : 323,817.60 = 68,115.20 : x
  2. Step 2: Convert to fraction form
    215,878.40/323,817.60 = 68,115.20/x
  3. Step 3: Cross multiply
    215,878.40x = 323,817.60 × 68,115.20
  4. Step 4: Simplify right side
    215,878.40x = 22,056,900,587.52
  5. Step 5: Solve for x
    x = 22,056,900,587.52/215,878.40
  6. Step 6: Final answer
    x = 102,172.80

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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.