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Finding the Fourth Proportional to 140,187.92, 193,463.64 and 76,529.84

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Solution

The fourth proportional to 140,187.92, 193,463.64 and 76,529.84 is: 105,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,187.92 : 193,463.64 = 76,529.84 : x
  2. Step 2: Convert to fraction form
    140,187.92/193,463.64 = 76,529.84/x
  3. Step 3: Cross multiply
    140,187.92x = 193,463.64 × 76,529.84
  4. Step 4: Simplify right side
    140,187.92x = 14,805,741,415.02
  5. Step 5: Solve for x
    x = 14,805,741,415.02/140,187.92
  6. Step 6: Final answer
    x = 105,613.53

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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.