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Finding the Fourth Proportional to 208,776.12, 313,010.81 and 66,539.54

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Solution

The fourth proportional to 208,776.12, 313,010.81 and 66,539.54 is: 99,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,776.12 : 313,010.81 = 66,539.54 : x
  2. Step 2: Convert to fraction form
    208,776.12/313,010.81 = 66,539.54/x
  3. Step 3: Cross multiply
    208,776.12x = 313,010.81 × 66,539.54
  4. Step 4: Simplify right side
    208,776.12x = 20,827,595,312.43
  5. Step 5: Solve for x
    x = 20,827,595,312.43/208,776.12
  6. Step 6: Final answer
    x = 99,760.43

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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.