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Finding the Fourth Proportional to 99,549.88, 137,378.77 and 54,837.88

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Solution

The fourth proportional to 99,549.88, 137,378.77 and 54,837.88 is: 75,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,549.88 : 137,378.77 = 54,837.88 : x
  2. Step 2: Convert to fraction form
    99,549.88/137,378.77 = 54,837.88/x
  3. Step 3: Cross multiply
    99,549.88x = 137,378.77 × 54,837.88
  4. Step 4: Simplify right side
    99,549.88x = 7,533,560,503.81
  5. Step 5: Solve for x
    x = 7,533,560,503.81/99,549.88
  6. Step 6: Final answer
    x = 75,676.24

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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.