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Finding the Fourth Proportional to 57,721.84, 79,657.38 and 31,880.30

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Solution

The fourth proportional to 57,721.84, 79,657.38 and 31,880.30 is: 43,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,721.84 : 79,657.38 = 31,880.30 : x
  2. Step 2: Convert to fraction form
    57,721.84/79,657.38 = 31,880.30/x
  3. Step 3: Cross multiply
    57,721.84x = 79,657.38 × 31,880.30
  4. Step 4: Simplify right side
    57,721.84x = 2,539,501,171.61
  5. Step 5: Solve for x
    x = 2,539,501,171.61/57,721.84
  6. Step 6: Final answer
    x = 43,995.50

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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.