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Finding the Fourth Proportional to 208,603.20, 312,933.60 and 75,451.20

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Solution

The fourth proportional to 208,603.20, 312,933.60 and 75,451.20 is: 113,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,603.20 : 312,933.60 = 75,451.20 : x
  2. Step 2: Convert to fraction form
    208,603.20/312,933.60 = 75,451.20/x
  3. Step 3: Cross multiply
    208,603.20x = 312,933.60 × 75,451.20
  4. Step 4: Simplify right side
    208,603.20x = 23,611,215,640.32
  5. Step 5: Solve for x
    x = 23,611,215,640.32/208,603.20
  6. Step 6: Final answer
    x = 113,187.22

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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.