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Finding the Fourth Proportional to 208,840.80, 313,261.20 and 75,720.90

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Solution

The fourth proportional to 208,840.80, 313,261.20 and 75,720.90 is: 113,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,840.80 : 313,261.20 = 75,720.90 : x
  2. Step 2: Convert to fraction form
    208,840.80/313,261.20 = 75,720.90/x
  3. Step 3: Cross multiply
    208,840.80x = 313,261.20 × 75,720.90
  4. Step 4: Simplify right side
    208,840.80x = 23,720,419,999.08
  5. Step 5: Solve for x
    x = 23,720,419,999.08/208,840.80
  6. Step 6: Final answer
    x = 113,581.35

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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.