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Finding the Fourth Proportional to 76,981.87, 106,205.60 and 46,755.79

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Solution

The fourth proportional to 76,981.87, 106,205.60 and 46,755.79 is: 64,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,981.87 : 106,205.60 = 46,755.79 : x
  2. Step 2: Convert to fraction form
    76,981.87/106,205.60 = 46,755.79/x
  3. Step 3: Cross multiply
    76,981.87x = 106,205.60 × 46,755.79
  4. Step 4: Simplify right side
    76,981.87x = 4,965,726,316.29
  5. Step 5: Solve for x
    x = 4,965,726,316.29/76,981.87
  6. Step 6: Final answer
    x = 64,505.14

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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.