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Finding the Fourth Proportional to 77,019, 115,528.52 and 27,771

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Solution

The fourth proportional to 77,019, 115,528.52 and 27,771 is: 41,656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,019 : 115,528.52 = 27,771 : x
  2. Step 2: Convert to fraction form
    77,019/115,528.52 = 27,771/x
  3. Step 3: Cross multiply
    77,019x = 115,528.52 × 27,771
  4. Step 4: Simplify right side
    77,019x = 3,208,342,528.92
  5. Step 5: Solve for x
    x = 3,208,342,528.92/77,019
  6. Step 6: Final answer
    x = 41,656.51

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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.