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Finding the Fourth Proportional to 271,205.80, 406,735.80 and 113,401.60

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Solution

The fourth proportional to 271,205.80, 406,735.80 and 113,401.60 is: 170,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,205.80 : 406,735.80 = 113,401.60 : x
  2. Step 2: Convert to fraction form
    271,205.80/406,735.80 = 113,401.60/x
  3. Step 3: Cross multiply
    271,205.80x = 406,735.80 × 113,401.60
  4. Step 4: Simplify right side
    271,205.80x = 46,124,490,497.28
  5. Step 5: Solve for x
    x = 46,124,490,497.28/271,205.80
  6. Step 6: Final answer
    x = 170,071.92

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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.