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Finding the Fourth Proportional to 70,505.91, 105,711.54 and 27,772.26

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Solution

The fourth proportional to 70,505.91, 105,711.54 and 27,772.26 is: 41,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,505.91 : 105,711.54 = 27,772.26 : x
  2. Step 2: Convert to fraction form
    70,505.91/105,711.54 = 27,772.26/x
  3. Step 3: Cross multiply
    70,505.91x = 105,711.54 × 27,772.26
  4. Step 4: Simplify right side
    70,505.91x = 2,935,848,373.88
  5. Step 5: Solve for x
    x = 2,935,848,373.88/70,505.91
  6. Step 6: Final answer
    x = 41,639.75

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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.