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Finding the Fourth Proportional to 84,249, 126,410.40 and 39,907.44

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Solution

The fourth proportional to 84,249, 126,410.40 and 39,907.44 is: 59,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,249 : 126,410.40 = 39,907.44 : x
  2. Step 2: Convert to fraction form
    84,249/126,410.40 = 39,907.44/x
  3. Step 3: Cross multiply
    84,249x = 126,410.40 × 39,907.44
  4. Step 4: Simplify right side
    84,249x = 5,044,715,453.38
  5. Step 5: Solve for x
    x = 5,044,715,453.38/84,249
  6. Step 6: Final answer
    x = 59,878.64

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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.