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Finding the Fourth Proportional to 55,005.80, 75,908 and 29,855.30

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Solution

The fourth proportional to 55,005.80, 75,908 and 29,855.30 is: 41,200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,005.80 : 75,908 = 29,855.30 : x
  2. Step 2: Convert to fraction form
    55,005.80/75,908 = 29,855.30/x
  3. Step 3: Cross multiply
    55,005.80x = 75,908 × 29,855.30
  4. Step 4: Simplify right side
    55,005.80x = 2,266,256,112.40
  5. Step 5: Solve for x
    x = 2,266,256,112.40/55,005.80
  6. Step 6: Final answer
    x = 41,200.31

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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.