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Finding the Fourth Proportional to 77,142.82, 115,201.57 and 76,307.78

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Solution

The fourth proportional to 77,142.82, 115,201.57 and 76,307.78 is: 113,954.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,142.82 : 115,201.57 = 76,307.78 : x
  2. Step 2: Convert to fraction form
    77,142.82/115,201.57 = 76,307.78/x
  3. Step 3: Cross multiply
    77,142.82x = 115,201.57 × 76,307.78
  4. Step 4: Simplify right side
    77,142.82x = 8,790,776,059.21
  5. Step 5: Solve for x
    x = 8,790,776,059.21/77,142.82
  6. Step 6: Final answer
    x = 113,954.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.