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Finding the Fourth Proportional to 99,915, 137,892.78 and 55,203

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Solution

The fourth proportional to 99,915, 137,892.78 and 55,203 is: 76,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,915 : 137,892.78 = 55,203 : x
  2. Step 2: Convert to fraction form
    99,915/137,892.78 = 55,203/x
  3. Step 3: Cross multiply
    99,915x = 137,892.78 × 55,203
  4. Step 4: Simplify right side
    99,915x = 7,612,095,134.34
  5. Step 5: Solve for x
    x = 7,612,095,134.34/99,915
  6. Step 6: Final answer
    x = 76,185.71

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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.