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Finding the Fourth Proportional to 271,378.02, 406,779.76 and 91,292.01

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Solution

The fourth proportional to 271,378.02, 406,779.76 and 91,292.01 is: 136,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,378.02 : 406,779.76 = 91,292.01 : x
  2. Step 2: Convert to fraction form
    271,378.02/406,779.76 = 91,292.01/x
  3. Step 3: Cross multiply
    271,378.02x = 406,779.76 × 91,292.01
  4. Step 4: Simplify right side
    271,378.02x = 37,135,741,917.72
  5. Step 5: Solve for x
    x = 37,135,741,917.72/271,378.02
  6. Step 6: Final answer
    x = 136,841.38

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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.