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Finding the Fourth Proportional to 99,917.30, 137,881.78 and 54,596.84

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Solution

The fourth proportional to 99,917.30, 137,881.78 and 54,596.84 is: 75,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,917.30 : 137,881.78 = 54,596.84 : x
  2. Step 2: Convert to fraction form
    99,917.30/137,881.78 = 54,596.84/x
  3. Step 3: Cross multiply
    99,917.30x = 137,881.78 × 54,596.84
  4. Step 4: Simplify right side
    99,917.30x = 7,527,909,481.58
  5. Step 5: Solve for x
    x = 7,527,909,481.58/99,917.30
  6. Step 6: Final answer
    x = 75,341.40

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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.