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Finding the Fourth Proportional to 271,010.65, 406,765.86 and 137,986.78

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Solution

The fourth proportional to 271,010.65, 406,765.86 and 137,986.78 is: 207,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,010.65 : 406,765.86 = 137,986.78 : x
  2. Step 2: Convert to fraction form
    271,010.65/406,765.86 = 137,986.78/x
  3. Step 3: Cross multiply
    271,010.65x = 406,765.86 × 137,986.78
  4. Step 4: Simplify right side
    271,010.65x = 56,128,311,235.33
  5. Step 5: Solve for x
    x = 56,128,311,235.33/271,010.65
  6. Step 6: Final answer
    x = 207,107.40

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1.5x scale

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.