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Finding the Fourth Proportional to 271,101, 406,487.40 and 121,313.34

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Solution

The fourth proportional to 271,101, 406,487.40 and 121,313.34 is: 181,896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,101 : 406,487.40 = 121,313.34 : x
  2. Step 2: Convert to fraction form
    271,101/406,487.40 = 121,313.34/x
  3. Step 3: Cross multiply
    271,101x = 406,487.40 × 121,313.34
  4. Step 4: Simplify right side
    271,101x = 49,312,344,161.92
  5. Step 5: Solve for x
    x = 49,312,344,161.92/271,101
  6. Step 6: Final answer
    x = 181,896.58

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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.