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Finding the Fourth Proportional to 105,642.78, 158,357.52 and 66,227.58

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Solution

The fourth proportional to 105,642.78, 158,357.52 and 66,227.58 is: 99,274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,642.78 : 158,357.52 = 66,227.58 : x
  2. Step 2: Convert to fraction form
    105,642.78/158,357.52 = 66,227.58/x
  3. Step 3: Cross multiply
    105,642.78x = 158,357.52 × 66,227.58
  4. Step 4: Simplify right side
    105,642.78x = 10,487,635,324.40
  5. Step 5: Solve for x
    x = 10,487,635,324.40/105,642.78
  6. Step 6: Final answer
    x = 99,274.51

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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.