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Finding the Fourth Proportional to 77,127.75, 115,700.81 and 27,197.49

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Solution

The fourth proportional to 77,127.75, 115,700.81 and 27,197.49 is: 40,799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,127.75 : 115,700.81 = 27,197.49 : x
  2. Step 2: Convert to fraction form
    77,127.75/115,700.81 = 27,197.49/x
  3. Step 3: Cross multiply
    77,127.75x = 115,700.81 × 27,197.49
  4. Step 4: Simplify right side
    77,127.75x = 3,146,771,486.98
  5. Step 5: Solve for x
    x = 3,146,771,486.98/77,127.75
  6. Step 6: Final answer
    x = 40,799.47

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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.