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Finding the Fourth Proportional to 54,188.68, 74,786.02 and 31,219.30

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Solution

The fourth proportional to 54,188.68, 74,786.02 and 31,219.30 is: 43,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,188.68 : 74,786.02 = 31,219.30 : x
  2. Step 2: Convert to fraction form
    54,188.68/74,786.02 = 31,219.30/x
  3. Step 3: Cross multiply
    54,188.68x = 74,786.02 × 31,219.30
  4. Step 4: Simplify right side
    54,188.68x = 2,334,767,194.19
  5. Step 5: Solve for x
    x = 2,334,767,194.19/54,188.68
  6. Step 6: Final answer
    x = 43,085.88

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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.