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Finding the Fourth Proportional to 271,439.01, 407,113.16 and 84,435.93

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Solution

The fourth proportional to 271,439.01, 407,113.16 and 84,435.93 is: 126,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,439.01 : 407,113.16 = 84,435.93 : x
  2. Step 2: Convert to fraction form
    271,439.01/407,113.16 = 84,435.93/x
  3. Step 3: Cross multiply
    271,439.01x = 407,113.16 × 84,435.93
  4. Step 4: Simplify right side
    271,439.01x = 34,374,977,857.66
  5. Step 5: Solve for x
    x = 34,374,977,857.66/271,439.01
  6. Step 6: Final answer
    x = 126,639.78

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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.