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Finding the Fourth Proportional to 100,505.86, 138,669.78 and 64,716.58

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Solution

The fourth proportional to 100,505.86, 138,669.78 and 64,716.58 is: 89,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,505.86 : 138,669.78 = 64,716.58 : x
  2. Step 2: Convert to fraction form
    100,505.86/138,669.78 = 64,716.58/x
  3. Step 3: Cross multiply
    100,505.86x = 138,669.78 × 64,716.58
  4. Step 4: Simplify right side
    100,505.86x = 8,974,233,910.95
  5. Step 5: Solve for x
    x = 8,974,233,910.95/100,505.86
  6. Step 6: Final answer
    x = 89,290.65

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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.