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Finding the Fourth Proportional to 104,872.10, 156,980.10 and 82,564.70

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Solution

The fourth proportional to 104,872.10, 156,980.10 and 82,564.70 is: 123,588.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,872.10 : 156,980.10 = 82,564.70 : x
  2. Step 2: Convert to fraction form
    104,872.10/156,980.10 = 82,564.70/x
  3. Step 3: Cross multiply
    104,872.10x = 156,980.10 × 82,564.70
  4. Step 4: Simplify right side
    104,872.10x = 12,961,014,862.47
  5. Step 5: Solve for x
    x = 12,961,014,862.47/104,872.10
  6. Step 6: Final answer
    x = 123,588.78

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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.