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Finding the Fourth Proportional to 77,470.62, 106,900.56 and 43,474.47

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Solution

The fourth proportional to 77,470.62, 106,900.56 and 43,474.47 is: 59,989.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,470.62 : 106,900.56 = 43,474.47 : x
  2. Step 2: Convert to fraction form
    77,470.62/106,900.56 = 43,474.47/x
  3. Step 3: Cross multiply
    77,470.62x = 106,900.56 × 43,474.47
  4. Step 4: Simplify right side
    77,470.62x = 4,647,445,188.70
  5. Step 5: Solve for x
    x = 4,647,445,188.70/77,470.62
  6. Step 6: Final answer
    x = 59,989.78

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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.