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Finding the Fourth Proportional to 99,563.88, 137,398.10 and 54,851.88

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Solution

The fourth proportional to 99,563.88, 137,398.10 and 54,851.88 is: 75,695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,563.88 : 137,398.10 = 54,851.88 : x
  2. Step 2: Convert to fraction form
    99,563.88/137,398.10 = 54,851.88/x
  3. Step 3: Cross multiply
    99,563.88x = 137,398.10 × 54,851.88
  4. Step 4: Simplify right side
    99,563.88x = 7,536,544,093.43
  5. Step 5: Solve for x
    x = 7,536,544,093.43/99,563.88
  6. Step 6: Final answer
    x = 75,695.56

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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.