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Finding the Fourth Proportional to 109,991, 151,787.68 and 59,690

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Solution

The fourth proportional to 109,991, 151,787.68 and 59,690 is: 82,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,991 : 151,787.68 = 59,690 : x
  2. Step 2: Convert to fraction form
    109,991/151,787.68 = 59,690/x
  3. Step 3: Cross multiply
    109,991x = 151,787.68 × 59,690
  4. Step 4: Simplify right side
    109,991x = 9,060,206,619.20
  5. Step 5: Solve for x
    x = 9,060,206,619.20/109,991
  6. Step 6: Final answer
    x = 82,372.25

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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.