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Finding the Fourth Proportional to 208,720.95, 313,126.78 and 68,474.31

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Solution

The fourth proportional to 208,720.95, 313,126.78 and 68,474.31 is: 102,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,720.95 : 313,126.78 = 68,474.31 : x
  2. Step 2: Convert to fraction form
    208,720.95/313,126.78 = 68,474.31/x
  3. Step 3: Cross multiply
    208,720.95x = 313,126.78 × 68,474.31
  4. Step 4: Simplify right side
    208,720.95x = 21,441,140,203.02
  5. Step 5: Solve for x
    x = 21,441,140,203.02/208,720.95
  6. Step 6: Final answer
    x = 102,726.34

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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.