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Finding the Fourth Proportional to 77,414.30, 116,121.45 and 57,731.30

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Solution

The fourth proportional to 77,414.30, 116,121.45 and 57,731.30 is: 86,596.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,414.30 : 116,121.45 = 57,731.30 : x
  2. Step 2: Convert to fraction form
    77,414.30/116,121.45 = 57,731.30/x
  3. Step 3: Cross multiply
    77,414.30x = 116,121.45 × 57,731.30
  4. Step 4: Simplify right side
    77,414.30x = 6,703,842,266.39
  5. Step 5: Solve for x
    x = 6,703,842,266.39/77,414.30
  6. Step 6: Final answer
    x = 86,596.95

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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.