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Finding the Fourth Proportional to 206,977.68, 310,499.33 and 66,703.50

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Solution

The fourth proportional to 206,977.68, 310,499.33 and 66,703.50 is: 100,065.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,977.68 : 310,499.33 = 66,703.50 : x
  2. Step 2: Convert to fraction form
    206,977.68/310,499.33 = 66,703.50/x
  3. Step 3: Cross multiply
    206,977.68x = 310,499.33 × 66,703.50
  4. Step 4: Simplify right side
    206,977.68x = 20,711,391,725.14
  5. Step 5: Solve for x
    x = 20,711,391,725.14/206,977.68
  6. Step 6: Final answer
    x = 100,065.82

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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.