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Finding the Fourth Proportional to 215,838.80, 323,412.60 and 136,811.60

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Solution

The fourth proportional to 215,838.80, 323,412.60 and 136,811.60 is: 204,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,838.80 : 323,412.60 = 136,811.60 : x
  2. Step 2: Convert to fraction form
    215,838.80/323,412.60 = 136,811.60/x
  3. Step 3: Cross multiply
    215,838.80x = 323,412.60 × 136,811.60
  4. Step 4: Simplify right side
    215,838.80x = 44,246,595,266.16
  5. Step 5: Solve for x
    x = 44,246,595,266.16/215,838.80
  6. Step 6: Final answer
    x = 204,998.34

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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.