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Finding the Fourth Proportional to 55,014.50, 75,920.10 and 29,864

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Solution

The fourth proportional to 55,014.50, 75,920.10 and 29,864 is: 41,212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,014.50 : 75,920.10 = 29,864 : x
  2. Step 2: Convert to fraction form
    55,014.50/75,920.10 = 29,864/x
  3. Step 3: Cross multiply
    55,014.50x = 75,920.10 × 29,864
  4. Step 4: Simplify right side
    55,014.50x = 2,267,277,866.40
  5. Step 5: Solve for x
    x = 2,267,277,866.40/55,014.50
  6. Step 6: Final answer
    x = 41,212.37

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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.