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Finding the Fourth Proportional to 80,109.20, 120,163.80 and 77,047.40

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Solution

The fourth proportional to 80,109.20, 120,163.80 and 77,047.40 is: 115,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,109.20 : 120,163.80 = 77,047.40 : x
  2. Step 2: Convert to fraction form
    80,109.20/120,163.80 = 77,047.40/x
  3. Step 3: Cross multiply
    80,109.20x = 120,163.80 × 77,047.40
  4. Step 4: Simplify right side
    80,109.20x = 9,258,308,364.12
  5. Step 5: Solve for x
    x = 9,258,308,364.12/80,109.20
  6. Step 6: Final answer
    x = 115,571.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.