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Finding the Fourth Proportional to 100,797.20, 139,105.80 and 57,783.84

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Solution

The fourth proportional to 100,797.20, 139,105.80 and 57,783.84 is: 79,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,797.20 : 139,105.80 = 57,783.84 : x
  2. Step 2: Convert to fraction form
    100,797.20/139,105.80 = 57,783.84/x
  3. Step 3: Cross multiply
    100,797.20x = 139,105.80 × 57,783.84
  4. Step 4: Simplify right side
    100,797.20x = 8,038,067,290.27
  5. Step 5: Solve for x
    x = 8,038,067,290.27/100,797.20
  6. Step 6: Final answer
    x = 79,744.95

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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.