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Finding the Fourth Proportional to 104,742.70, 157,114.05 and 81,385.90

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Solution

The fourth proportional to 104,742.70, 157,114.05 and 81,385.90 is: 122,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,742.70 : 157,114.05 = 81,385.90 : x
  2. Step 2: Convert to fraction form
    104,742.70/157,114.05 = 81,385.90/x
  3. Step 3: Cross multiply
    104,742.70x = 157,114.05 × 81,385.90
  4. Step 4: Simplify right side
    104,742.70x = 12,786,868,361.90
  5. Step 5: Solve for x
    x = 12,786,868,361.90/104,742.70
  6. Step 6: Final answer
    x = 122,078.85

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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.