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Finding the Fourth Proportional to 74,893.56, 112,309.26 and 30,490.20

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Solution

The fourth proportional to 74,893.56, 112,309.26 and 30,490.20 is: 45,722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,893.56 : 112,309.26 = 30,490.20 : x
  2. Step 2: Convert to fraction form
    74,893.56/112,309.26 = 30,490.20/x
  3. Step 3: Cross multiply
    74,893.56x = 112,309.26 × 30,490.20
  4. Step 4: Simplify right side
    74,893.56x = 3,424,331,799.25
  5. Step 5: Solve for x
    x = 3,424,331,799.25/74,893.56
  6. Step 6: Final answer
    x = 45,722.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.