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Finding the Fourth Proportional to 215,204.80, 322,807.20 and 83,876.80

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Solution

The fourth proportional to 215,204.80, 322,807.20 and 83,876.80 is: 125,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,204.80 : 322,807.20 = 83,876.80 : x
  2. Step 2: Convert to fraction form
    215,204.80/322,807.20 = 83,876.80/x
  3. Step 3: Cross multiply
    215,204.80x = 322,807.20 × 83,876.80
  4. Step 4: Simplify right side
    215,204.80x = 27,076,034,952.96
  5. Step 5: Solve for x
    x = 27,076,034,952.96/215,204.80
  6. Step 6: Final answer
    x = 125,815.20

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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.