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Finding the Fourth Proportional to 140,652.84, 194,100.98 and 76,991

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Solution

The fourth proportional to 140,652.84, 194,100.98 and 76,991 is: 106,247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,652.84 : 194,100.98 = 76,991 : x
  2. Step 2: Convert to fraction form
    140,652.84/194,100.98 = 76,991/x
  3. Step 3: Cross multiply
    140,652.84x = 194,100.98 × 76,991
  4. Step 4: Simplify right side
    140,652.84x = 14,944,028,551.18
  5. Step 5: Solve for x
    x = 14,944,028,551.18/140,652.84
  6. Step 6: Final answer
    x = 106,247.61

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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.