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Finding the Fourth Proportional to 99,933.86, 137,908.80 and 55,221.86

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Solution

The fourth proportional to 99,933.86, 137,908.80 and 55,221.86 is: 76,206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,933.86 : 137,908.80 = 55,221.86 : x
  2. Step 2: Convert to fraction form
    99,933.86/137,908.80 = 55,221.86/x
  3. Step 3: Cross multiply
    99,933.86x = 137,908.80 × 55,221.86
  4. Step 4: Simplify right side
    99,933.86x = 7,615,580,446.37
  5. Step 5: Solve for x
    x = 7,615,580,446.37/99,933.86
  6. Step 6: Final answer
    x = 76,206.21

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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.