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Finding the Fourth Proportional to 120,205.80, 166,020.16 and 81,898.88

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Solution

The fourth proportional to 120,205.80, 166,020.16 and 81,898.88 is: 113,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,205.80 : 166,020.16 = 81,898.88 : x
  2. Step 2: Convert to fraction form
    120,205.80/166,020.16 = 81,898.88/x
  3. Step 3: Cross multiply
    120,205.80x = 166,020.16 × 81,898.88
  4. Step 4: Simplify right side
    120,205.80x = 13,596,865,161.42
  5. Step 5: Solve for x
    x = 13,596,865,161.42/120,205.80
  6. Step 6: Final answer
    x = 113,113.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.