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Finding the Fourth Proportional to 73,442.88, 110,144.64 and 31,880

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Solution

The fourth proportional to 73,442.88, 110,144.64 and 31,880 is: 47,811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,442.88 : 110,144.64 = 31,880 : x
  2. Step 2: Convert to fraction form
    73,442.88/110,144.64 = 31,880/x
  3. Step 3: Cross multiply
    73,442.88x = 110,144.64 × 31,880
  4. Step 4: Simplify right side
    73,442.88x = 3,511,411,123.20
  5. Step 5: Solve for x
    x = 3,511,411,123.20/73,442.88
  6. Step 6: Final answer
    x = 47,811.46

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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.