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Finding the Fourth Proportional to 54,790.50, 75,610.98 and 29,640

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Solution

The fourth proportional to 54,790.50, 75,610.98 and 29,640 is: 40,903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,790.50 : 75,610.98 = 29,640 : x
  2. Step 2: Convert to fraction form
    54,790.50/75,610.98 = 29,640/x
  3. Step 3: Cross multiply
    54,790.50x = 75,610.98 × 29,640
  4. Step 4: Simplify right side
    54,790.50x = 2,241,109,447.20
  5. Step 5: Solve for x
    x = 2,241,109,447.20/54,790.50
  6. Step 6: Final answer
    x = 40,903.25

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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.