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Finding the Fourth Proportional to 77,169.63, 115,677.81 and 43,820.67

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Solution

The fourth proportional to 77,169.63, 115,677.81 and 43,820.67 is: 65,687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,169.63 : 115,677.81 = 43,820.67 : x
  2. Step 2: Convert to fraction form
    77,169.63/115,677.81 = 43,820.67/x
  3. Step 3: Cross multiply
    77,169.63x = 115,677.81 × 43,820.67
  4. Step 4: Simplify right side
    77,169.63x = 5,069,079,138.33
  5. Step 5: Solve for x
    x = 5,069,079,138.33/77,169.63
  6. Step 6: Final answer
    x = 65,687.49

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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.