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Finding the Fourth Proportional to 208,915.13, 313,372.77 and 114,093.45

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Solution

The fourth proportional to 208,915.13, 313,372.77 and 114,093.45 is: 171,140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,915.13 : 313,372.77 = 114,093.45 : x
  2. Step 2: Convert to fraction form
    208,915.13/313,372.77 = 114,093.45/x
  3. Step 3: Cross multiply
    208,915.13x = 313,372.77 × 114,093.45
  4. Step 4: Simplify right side
    208,915.13x = 35,753,780,465.36
  5. Step 5: Solve for x
    x = 35,753,780,465.36/208,915.13
  6. Step 6: Final answer
    x = 171,140.22

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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.