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Finding the Fourth Proportional to 76,993.76, 106,221.57 and 45,151.04

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Solution

The fourth proportional to 76,993.76, 106,221.57 and 45,151.04 is: 62,290.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,993.76 : 106,221.57 = 45,151.04 : x
  2. Step 2: Convert to fraction form
    76,993.76/106,221.57 = 45,151.04/x
  3. Step 3: Cross multiply
    76,993.76x = 106,221.57 × 45,151.04
  4. Step 4: Simplify right side
    76,993.76x = 4,796,014,355.93
  5. Step 5: Solve for x
    x = 4,796,014,355.93/76,993.76
  6. Step 6: Final answer
    x = 62,290.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.