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Finding the Fourth Proportional to 206,681.76, 310,091.63 and 80,326.04

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Solution

The fourth proportional to 206,681.76, 310,091.63 and 80,326.04 is: 120,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,681.76 : 310,091.63 = 80,326.04 : x
  2. Step 2: Convert to fraction form
    206,681.76/310,091.63 = 80,326.04/x
  3. Step 3: Cross multiply
    206,681.76x = 310,091.63 × 80,326.04
  4. Step 4: Simplify right side
    206,681.76x = 24,908,430,722.96
  5. Step 5: Solve for x
    x = 24,908,430,722.96/206,681.76
  6. Step 6: Final answer
    x = 120,515.86

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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.