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Finding the Fourth Proportional to 66,107, 99,160.50 and 16,859

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Solution

The fourth proportional to 66,107, 99,160.50 and 16,859 is: 25,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,107 : 99,160.50 = 16,859 : x
  2. Step 2: Convert to fraction form
    66,107/99,160.50 = 16,859/x
  3. Step 3: Cross multiply
    66,107x = 99,160.50 × 16,859
  4. Step 4: Simplify right side
    66,107x = 1,671,746,869.50
  5. Step 5: Solve for x
    x = 1,671,746,869.50/66,107
  6. Step 6: Final answer
    x = 25,288.50

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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.