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Finding the Fourth Proportional to 50,115, 69,160.86 and 27,759

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Solution

The fourth proportional to 50,115, 69,160.86 and 27,759 is: 38,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,115 : 69,160.86 = 27,759 : x
  2. Step 2: Convert to fraction form
    50,115/69,160.86 = 27,759/x
  3. Step 3: Cross multiply
    50,115x = 69,160.86 × 27,759
  4. Step 4: Simplify right side
    50,115x = 1,919,836,312.74
  5. Step 5: Solve for x
    x = 1,919,836,312.74/50,115
  6. Step 6: Final answer
    x = 38,308.62

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1.5x scale

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.