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Finding the Fourth Proportional to 76,574.43, 105,673.64 and 43,039.71

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Solution

The fourth proportional to 76,574.43, 105,673.64 and 43,039.71 is: 59,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,574.43 : 105,673.64 = 43,039.71 : x
  2. Step 2: Convert to fraction form
    76,574.43/105,673.64 = 43,039.71/x
  3. Step 3: Cross multiply
    76,574.43x = 105,673.64 × 43,039.71
  4. Step 4: Simplify right side
    76,574.43x = 4,548,162,605.05
  5. Step 5: Solve for x
    x = 4,548,162,605.05/76,574.43
  6. Step 6: Final answer
    x = 59,395.32

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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.