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Finding the Fourth Proportional to 77,568.66, 107,045.18 and 43,578.58

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Solution

The fourth proportional to 77,568.66, 107,045.18 and 43,578.58 is: 60,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,568.66 : 107,045.18 = 43,578.58 : x
  2. Step 2: Convert to fraction form
    77,568.66/107,045.18 = 43,578.58/x
  3. Step 3: Cross multiply
    77,568.66x = 107,045.18 × 43,578.58
  4. Step 4: Simplify right side
    77,568.66x = 4,664,876,940.24
  5. Step 5: Solve for x
    x = 4,664,876,940.24/77,568.66
  6. Step 6: Final answer
    x = 60,138.68

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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.