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Finding the Fourth Proportional to 208,983, 313,167.22 and 123,505.88

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Solution

The fourth proportional to 208,983, 313,167.22 and 123,505.88 is: 185,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,983 : 313,167.22 = 123,505.88 : x
  2. Step 2: Convert to fraction form
    208,983/313,167.22 = 123,505.88/x
  3. Step 3: Cross multiply
    208,983x = 313,167.22 × 123,505.88
  4. Step 4: Simplify right side
    208,983x = 38,677,993,093.25
  5. Step 5: Solve for x
    x = 38,677,993,093.25/208,983
  6. Step 6: Final answer
    x = 185,077.22

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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.