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Finding the Fourth Proportional to 271,705.60, 407,576.40 and 72,023.20

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Solution

The fourth proportional to 271,705.60, 407,576.40 and 72,023.20 is: 108,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,705.60 : 407,576.40 = 72,023.20 : x
  2. Step 2: Convert to fraction form
    271,705.60/407,576.40 = 72,023.20/x
  3. Step 3: Cross multiply
    271,705.60x = 407,576.40 × 72,023.20
  4. Step 4: Simplify right side
    271,705.60x = 29,354,956,572.48
  5. Step 5: Solve for x
    x = 29,354,956,572.48/271,705.60
  6. Step 6: Final answer
    x = 108,039.57

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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.