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Finding the Fourth Proportional to 77,634.91, 116,336.95 and 40,144.95

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Solution

The fourth proportional to 77,634.91, 116,336.95 and 40,144.95 is: 60,157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,634.91 : 116,336.95 = 40,144.95 : x
  2. Step 2: Convert to fraction form
    77,634.91/116,336.95 = 40,144.95/x
  3. Step 3: Cross multiply
    77,634.91x = 116,336.95 × 40,144.95
  4. Step 4: Simplify right side
    77,634.91x = 4,670,340,892.73
  5. Step 5: Solve for x
    x = 4,670,340,892.73/77,634.91
  6. Step 6: Final answer
    x = 60,157.74

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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.