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Finding the Fourth Proportional to 271,015.65, 406,617.80 and 121,271.76

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Solution

The fourth proportional to 271,015.65, 406,617.80 and 121,271.76 is: 181,949.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,015.65 : 406,617.80 = 121,271.76 : x
  2. Step 2: Convert to fraction form
    271,015.65/406,617.80 = 121,271.76/x
  3. Step 3: Cross multiply
    271,015.65x = 406,617.80 × 121,271.76
  4. Step 4: Simplify right side
    271,015.65x = 49,311,255,646.97
  5. Step 5: Solve for x
    x = 49,311,255,646.97/271,015.65
  6. Step 6: Final answer
    x = 181,949.85

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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.