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Finding the Fourth Proportional to 99,924.86, 137,896.32 and 55,212.86

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Solution

The fourth proportional to 99,924.86, 137,896.32 and 55,212.86 is: 76,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,924.86 : 137,896.32 = 55,212.86 : x
  2. Step 2: Convert to fraction form
    99,924.86/137,896.32 = 55,212.86/x
  3. Step 3: Cross multiply
    99,924.86x = 137,896.32 × 55,212.86
  4. Step 4: Simplify right side
    99,924.86x = 7,613,650,210.68
  5. Step 5: Solve for x
    x = 7,613,650,210.68/99,924.86
  6. Step 6: Final answer
    x = 76,193.75

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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.