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Finding the Fourth Proportional to 77,310.92, 106,694.16 and 43,317.56

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Solution

The fourth proportional to 77,310.92, 106,694.16 and 43,317.56 is: 59,781.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,310.92 : 106,694.16 = 43,317.56 : x
  2. Step 2: Convert to fraction form
    77,310.92/106,694.16 = 43,317.56/x
  3. Step 3: Cross multiply
    77,310.92x = 106,694.16 × 43,317.56
  4. Step 4: Simplify right side
    77,310.92x = 4,621,730,677.45
  5. Step 5: Solve for x
    x = 4,621,730,677.45/77,310.92
  6. Step 6: Final answer
    x = 59,781.08

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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.