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Finding the Fourth Proportional to 73,272, 101,115.36 and 39,738

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Solution

The fourth proportional to 73,272, 101,115.36 and 39,738 is: 54,838.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,272 : 101,115.36 = 39,738 : x
  2. Step 2: Convert to fraction form
    73,272/101,115.36 = 39,738/x
  3. Step 3: Cross multiply
    73,272x = 101,115.36 × 39,738
  4. Step 4: Simplify right side
    73,272x = 4,018,122,175.68
  5. Step 5: Solve for x
    x = 4,018,122,175.68/73,272
  6. Step 6: Final answer
    x = 54,838.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.