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Finding the Fourth Proportional to 51,284.70, 76,927.05 and 47,007.90

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Solution

The fourth proportional to 51,284.70, 76,927.05 and 47,007.90 is: 70,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,284.70 : 76,927.05 = 47,007.90 : x
  2. Step 2: Convert to fraction form
    51,284.70/76,927.05 = 47,007.90/x
  3. Step 3: Cross multiply
    51,284.70x = 76,927.05 × 47,007.90
  4. Step 4: Simplify right side
    51,284.70x = 3,616,179,073.70
  5. Step 5: Solve for x
    x = 3,616,179,073.70/51,284.70
  6. Step 6: Final answer
    x = 70,511.85

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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.