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Finding the Fourth Proportional to 100,793.94, 139,101.36 and 57,780.54

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Solution

The fourth proportional to 100,793.94, 139,101.36 and 57,780.54 is: 79,740.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,793.94 : 139,101.36 = 57,780.54 : x
  2. Step 2: Convert to fraction form
    100,793.94/139,101.36 = 57,780.54/x
  3. Step 3: Cross multiply
    100,793.94x = 139,101.36 × 57,780.54
  4. Step 4: Simplify right side
    100,793.94x = 8,037,351,695.53
  5. Step 5: Solve for x
    x = 8,037,351,695.53/100,793.94
  6. Step 6: Final answer
    x = 79,740.43

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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.