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Finding the Fourth Proportional to 77,019.96, 106,289.10 and 43,479.48

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Solution

The fourth proportional to 77,019.96, 106,289.10 and 43,479.48 is: 60,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,019.96 : 106,289.10 = 43,479.48 : x
  2. Step 2: Convert to fraction form
    77,019.96/106,289.10 = 43,479.48/x
  3. Step 3: Cross multiply
    77,019.96x = 106,289.10 × 43,479.48
  4. Step 4: Simplify right side
    77,019.96x = 4,621,394,797.67
  5. Step 5: Solve for x
    x = 4,621,394,797.67/77,019.96
  6. Step 6: Final answer
    x = 60,002.56

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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.