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Finding the Fourth Proportional to 206,965.64, 310,439.81 and 59,221.64

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Solution

The fourth proportional to 206,965.64, 310,439.81 and 59,221.64 is: 88,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,965.64 : 310,439.81 = 59,221.64 : x
  2. Step 2: Convert to fraction form
    206,965.64/310,439.81 = 59,221.64/x
  3. Step 3: Cross multiply
    206,965.64x = 310,439.81 × 59,221.64
  4. Step 4: Simplify right side
    206,965.64x = 18,384,754,669.49
  5. Step 5: Solve for x
    x = 18,384,754,669.49/206,965.64
  6. Step 6: Final answer
    x = 88,829.98

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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.