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Finding the Fourth Proportional to 51,059.70, 76,480.20 and 42,311.70

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Solution

The fourth proportional to 51,059.70, 76,480.20 and 42,311.70 is: 63,376.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,059.70 : 76,480.20 = 42,311.70 : x
  2. Step 2: Convert to fraction form
    51,059.70/76,480.20 = 42,311.70/x
  3. Step 3: Cross multiply
    51,059.70x = 76,480.20 × 42,311.70
  4. Step 4: Simplify right side
    51,059.70x = 3,236,007,278.34
  5. Step 5: Solve for x
    x = 3,236,007,278.34/51,059.70
  6. Step 6: Final answer
    x = 63,376.93

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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.