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Finding the Fourth Proportional to 54,880, 75,735.90 and 31,006.16

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Solution

The fourth proportional to 54,880, 75,735.90 and 31,006.16 is: 42,789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,880 : 75,735.90 = 31,006.16 : x
  2. Step 2: Convert to fraction form
    54,880/75,735.90 = 31,006.16/x
  3. Step 3: Cross multiply
    54,880x = 75,735.90 × 31,006.16
  4. Step 4: Simplify right side
    54,880x = 2,348,279,433.14
  5. Step 5: Solve for x
    x = 2,348,279,433.14/54,880
  6. Step 6: Final answer
    x = 42,789.35

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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.