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Finding the Fourth Proportional to 99,884.30, 137,835.06 and 54,561.63

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Solution

The fourth proportional to 99,884.30, 137,835.06 and 54,561.63 is: 75,292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,884.30 : 137,835.06 = 54,561.63 : x
  2. Step 2: Convert to fraction form
    99,884.30/137,835.06 = 54,561.63/x
  3. Step 3: Cross multiply
    99,884.30x = 137,835.06 × 54,561.63
  4. Step 4: Simplify right side
    99,884.30x = 7,520,505,544.75
  5. Step 5: Solve for x
    x = 7,520,505,544.75/99,884.30
  6. Step 6: Final answer
    x = 75,292.17

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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.