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Finding the Fourth Proportional to 55,008.50, 75,911.82 and 29,858

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Solution

The fourth proportional to 55,008.50, 75,911.82 and 29,858 is: 41,204.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,008.50 : 75,911.82 = 29,858 : x
  2. Step 2: Convert to fraction form
    55,008.50/75,911.82 = 29,858/x
  3. Step 3: Cross multiply
    55,008.50x = 75,911.82 × 29,858
  4. Step 4: Simplify right side
    55,008.50x = 2,266,575,121.56
  5. Step 5: Solve for x
    x = 2,266,575,121.56/55,008.50
  6. Step 6: Final answer
    x = 41,204.09

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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.