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Finding the Fourth Proportional to 208,868.58, 313,353.90 and 66,713.90

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Solution

The fourth proportional to 208,868.58, 313,353.90 and 66,713.90 is: 100,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,868.58 : 313,353.90 = 66,713.90 : x
  2. Step 2: Convert to fraction form
    208,868.58/313,353.90 = 66,713.90/x
  3. Step 3: Cross multiply
    208,868.58x = 313,353.90 × 66,713.90
  4. Step 4: Simplify right side
    208,868.58x = 20,905,059,182.44
  5. Step 5: Solve for x
    x = 20,905,059,182.44/208,868.58
  6. Step 6: Final answer
    x = 100,087.14

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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.