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Finding the Fourth Proportional to 100,757.59, 139,065.36 and 57,765.96

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Solution

The fourth proportional to 100,757.59, 139,065.36 and 57,765.96 is: 79,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,757.59 : 139,065.36 = 57,765.96 : x
  2. Step 2: Convert to fraction form
    100,757.59/139,065.36 = 57,765.96/x
  3. Step 3: Cross multiply
    100,757.59x = 139,065.36 × 57,765.96
  4. Step 4: Simplify right side
    100,757.59x = 8,033,243,806.52
  5. Step 5: Solve for x
    x = 8,033,243,806.52/100,757.59
  6. Step 6: Final answer
    x = 79,728.43

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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.