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Finding the Fourth Proportional to 104,878.60, 156,989.85 and 82,571.20

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Solution

The fourth proportional to 104,878.60, 156,989.85 and 82,571.20 is: 123,598.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,878.60 : 156,989.85 = 82,571.20 : x
  2. Step 2: Convert to fraction form
    104,878.60/156,989.85 = 82,571.20/x
  3. Step 3: Cross multiply
    104,878.60x = 156,989.85 × 82,571.20
  4. Step 4: Simplify right side
    104,878.60x = 12,962,840,302.32
  5. Step 5: Solve for x
    x = 12,962,840,302.32/104,878.60
  6. Step 6: Final answer
    x = 123,598.53

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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.