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Finding the Fourth Proportional to 208,388.16, 312,625.44 and 83,738.88

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Solution

The fourth proportional to 208,388.16, 312,625.44 and 83,738.88 is: 125,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,388.16 : 312,625.44 = 83,738.88 : x
  2. Step 2: Convert to fraction form
    208,388.16/312,625.44 = 83,738.88/x
  3. Step 3: Cross multiply
    208,388.16x = 312,625.44 × 83,738.88
  4. Step 4: Simplify right side
    208,388.16x = 26,178,904,205.11
  5. Step 5: Solve for x
    x = 26,178,904,205.11/208,388.16
  6. Step 6: Final answer
    x = 125,625.68

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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.