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Finding the Fourth Proportional to 140,642.58, 193,903.44 and 89,636.70

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Solution

The fourth proportional to 140,642.58, 193,903.44 and 89,636.70 is: 123,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,642.58 : 193,903.44 = 89,636.70 : x
  2. Step 2: Convert to fraction form
    140,642.58/193,903.44 = 89,636.70/x
  3. Step 3: Cross multiply
    140,642.58x = 193,903.44 × 89,636.70
  4. Step 4: Simplify right side
    140,642.58x = 17,380,864,480.25
  5. Step 5: Solve for x
    x = 17,380,864,480.25/140,642.58
  6. Step 6: Final answer
    x = 123,581.81

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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.