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Finding the Fourth Proportional to 99,918.30, 137,883.16 and 54,597.84

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Solution

The fourth proportional to 99,918.30, 137,883.16 and 54,597.84 is: 75,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,918.30 : 137,883.16 = 54,597.84 : x
  2. Step 2: Convert to fraction form
    99,918.30/137,883.16 = 54,597.84/x
  3. Step 3: Cross multiply
    99,918.30x = 137,883.16 × 54,597.84
  4. Step 4: Simplify right side
    99,918.30x = 7,528,122,708.37
  5. Step 5: Solve for x
    x = 7,528,122,708.37/99,918.30
  6. Step 6: Final answer
    x = 75,342.78

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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.