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Finding the Fourth Proportional to 42,662.71, 64,010.70 and 17,696.44

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Solution

The fourth proportional to 42,662.71, 64,010.70 and 17,696.44 is: 26,551.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,662.71 : 64,010.70 = 17,696.44 : x
  2. Step 2: Convert to fraction form
    42,662.71/64,010.70 = 17,696.44/x
  3. Step 3: Cross multiply
    42,662.71x = 64,010.70 × 17,696.44
  4. Step 4: Simplify right side
    42,662.71x = 1,132,761,511.91
  5. Step 5: Solve for x
    x = 1,132,761,511.91/42,662.71
  6. Step 6: Final answer
    x = 26,551.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.