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Finding the Fourth Proportional to 76,646.49, 105,772.16 and 43,112.49

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Solution

The fourth proportional to 76,646.49, 105,772.16 and 43,112.49 is: 59,495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,646.49 : 105,772.16 = 43,112.49 : x
  2. Step 2: Convert to fraction form
    76,646.49/105,772.16 = 43,112.49/x
  3. Step 3: Cross multiply
    76,646.49x = 105,772.16 × 43,112.49
  4. Step 4: Simplify right side
    76,646.49x = 4,560,100,974.72
  5. Step 5: Solve for x
    x = 4,560,100,974.72/76,646.49
  6. Step 6: Final answer
    x = 59,495.24

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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.