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Finding the Fourth Proportional to 77,086.49, 106,380.14 and 43,096.86

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Solution

The fourth proportional to 77,086.49, 106,380.14 and 43,096.86 is: 59,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,086.49 : 106,380.14 = 43,096.86 : x
  2. Step 2: Convert to fraction form
    77,086.49/106,380.14 = 43,096.86/x
  3. Step 3: Cross multiply
    77,086.49x = 106,380.14 × 43,096.86
  4. Step 4: Simplify right side
    77,086.49x = 4,584,650,000.36
  5. Step 5: Solve for x
    x = 4,584,650,000.36/77,086.49
  6. Step 6: Final answer
    x = 59,474.11

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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.