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Finding the Fourth Proportional to 121,700.80, 182,463.66 and 55,106.65

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Solution

The fourth proportional to 121,700.80, 182,463.66 and 55,106.65 is: 82,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,700.80 : 182,463.66 = 55,106.65 : x
  2. Step 2: Convert to fraction form
    121,700.80/182,463.66 = 55,106.65/x
  3. Step 3: Cross multiply
    121,700.80x = 182,463.66 × 55,106.65
  4. Step 4: Simplify right side
    121,700.80x = 10,054,961,049.34
  5. Step 5: Solve for x
    x = 10,054,961,049.34/121,700.80
  6. Step 6: Final answer
    x = 82,620.34

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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.