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Finding the Fourth Proportional to 215,713.80, 323,513.10 and 65,953.80

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Solution

The fourth proportional to 215,713.80, 323,513.10 and 65,953.80 is: 98,913.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,713.80 : 323,513.10 = 65,953.80 : x
  2. Step 2: Convert to fraction form
    215,713.80/323,513.10 = 65,953.80/x
  3. Step 3: Cross multiply
    215,713.80x = 323,513.10 × 65,953.80
  4. Step 4: Simplify right side
    215,713.80x = 21,336,918,294.78
  5. Step 5: Solve for x
    x = 21,336,918,294.78/215,713.80
  6. Step 6: Final answer
    x = 98,913.09

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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.