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Finding the Fourth Proportional to 215,873.80, 323,657.10 and 82,702.60

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Solution

The fourth proportional to 215,873.80, 323,657.10 and 82,702.60 is: 123,995.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,873.80 : 323,657.10 = 82,702.60 : x
  2. Step 2: Convert to fraction form
    215,873.80/323,657.10 = 82,702.60/x
  3. Step 3: Cross multiply
    215,873.80x = 323,657.10 × 82,702.60
  4. Step 4: Simplify right side
    215,873.80x = 26,767,283,678.46
  5. Step 5: Solve for x
    x = 26,767,283,678.46/215,873.80
  6. Step 6: Final answer
    x = 123,995.05

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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.