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Finding the Fourth Proportional to 66,787.10, 100,180.62 and 16,870.16

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Solution

The fourth proportional to 66,787.10, 100,180.62 and 16,870.16 is: 25,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,787.10 : 100,180.62 = 16,870.16 : x
  2. Step 2: Convert to fraction form
    66,787.10/100,180.62 = 16,870.16/x
  3. Step 3: Cross multiply
    66,787.10x = 100,180.62 × 16,870.16
  4. Step 4: Simplify right side
    66,787.10x = 1,690,063,088.30
  5. Step 5: Solve for x
    x = 1,690,063,088.30/66,787.10
  6. Step 6: Final answer
    x = 25,305.23

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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.