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Finding the Fourth Proportional to 206,666.41, 310,019.22 and 80,316.42

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Solution

The fourth proportional to 206,666.41, 310,019.22 and 80,316.42 is: 120,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,666.41 : 310,019.22 = 80,316.42 : x
  2. Step 2: Convert to fraction form
    206,666.41/310,019.22 = 80,316.42/x
  3. Step 3: Cross multiply
    206,666.41x = 310,019.22 × 80,316.42
  4. Step 4: Simplify right side
    206,666.41x = 24,899,633,162.89
  5. Step 5: Solve for x
    x = 24,899,633,162.89/206,666.41
  6. Step 6: Final answer
    x = 120,482.24

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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.