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Finding the Fourth Proportional to 77,157.86, 115,746 and 27,227.62

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Solution

The fourth proportional to 77,157.86, 115,746 and 27,227.62 is: 40,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,157.86 : 115,746 = 27,227.62 : x
  2. Step 2: Convert to fraction form
    77,157.86/115,746 = 27,227.62/x
  3. Step 3: Cross multiply
    77,157.86x = 115,746 × 27,227.62
  4. Step 4: Simplify right side
    77,157.86x = 3,151,488,104.52
  5. Step 5: Solve for x
    x = 3,151,488,104.52/77,157.86
  6. Step 6: Final answer
    x = 40,844.68

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1.5x scale

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.