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Finding the Fourth Proportional to 271,102, 406,488.90 and 121,314.34

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Solution

The fourth proportional to 271,102, 406,488.90 and 121,314.34 is: 181,898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,102 : 406,488.90 = 121,314.34 : x
  2. Step 2: Convert to fraction form
    271,102/406,488.90 = 121,314.34/x
  3. Step 3: Cross multiply
    271,102x = 406,488.90 × 121,314.34
  4. Step 4: Simplify right side
    271,102x = 49,312,932,620.83
  5. Step 5: Solve for x
    x = 49,312,932,620.83/271,102
  6. Step 6: Final answer
    x = 181,898.08

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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.