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Finding the Fourth Proportional to 79,297, 109,429.86 and 43,969

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Solution

The fourth proportional to 79,297, 109,429.86 and 43,969 is: 60,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,297 : 109,429.86 = 43,969 : x
  2. Step 2: Convert to fraction form
    79,297/109,429.86 = 43,969/x
  3. Step 3: Cross multiply
    79,297x = 109,429.86 × 43,969
  4. Step 4: Simplify right side
    79,297x = 4,811,521,514.34
  5. Step 5: Solve for x
    x = 4,811,521,514.34/79,297
  6. Step 6: Final answer
    x = 60,677.22

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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.