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Finding the Fourth Proportional to 208,776.87, 313,011.94 and 66,540.30

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Solution

The fourth proportional to 208,776.87, 313,011.94 and 66,540.30 is: 99,761.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,776.87 : 313,011.94 = 66,540.30 : x
  2. Step 2: Convert to fraction form
    208,776.87/313,011.94 = 66,540.30/x
  3. Step 3: Cross multiply
    208,776.87x = 313,011.94 × 66,540.30
  4. Step 4: Simplify right side
    208,776.87x = 20,827,908,391.18
  5. Step 5: Solve for x
    x = 20,827,908,391.18/208,776.87
  6. Step 6: Final answer
    x = 99,761.57

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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.