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Finding the Fourth Proportional to 70,511.05, 105,711.09 and 34,947.91

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Solution

The fourth proportional to 70,511.05, 105,711.09 and 34,947.91 is: 52,394.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,511.05 : 105,711.09 = 34,947.91 : x
  2. Step 2: Convert to fraction form
    70,511.05/105,711.09 = 34,947.91/x
  3. Step 3: Cross multiply
    70,511.05x = 105,711.09 × 34,947.91
  4. Step 4: Simplify right side
    70,511.05x = 3,694,381,659.32
  5. Step 5: Solve for x
    x = 3,694,381,659.32/70,511.05
  6. Step 6: Final answer
    x = 52,394.36

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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.