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Finding the Fourth Proportional to 74,684, 103,064.24 and 41,149.28

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Solution

The fourth proportional to 74,684, 103,064.24 and 41,149.28 is: 56,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,684 : 103,064.24 = 41,149.28 : x
  2. Step 2: Convert to fraction form
    74,684/103,064.24 = 41,149.28/x
  3. Step 3: Cross multiply
    74,684x = 103,064.24 × 41,149.28
  4. Step 4: Simplify right side
    74,684x = 4,241,019,269.75
  5. Step 5: Solve for x
    x = 4,241,019,269.75/74,684
  6. Step 6: Final answer
    x = 56,786.18

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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.