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Finding the Fourth Proportional to 271,308.95, 407,021.74 and 91,412.25

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Solution

The fourth proportional to 271,308.95, 407,021.74 and 91,412.25 is: 137,138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,308.95 : 407,021.74 = 91,412.25 : x
  2. Step 2: Convert to fraction form
    271,308.95/407,021.74 = 91,412.25/x
  3. Step 3: Cross multiply
    271,308.95x = 407,021.74 × 91,412.25
  4. Step 4: Simplify right side
    271,308.95x = 37,206,773,052.32
  5. Step 5: Solve for x
    x = 37,206,773,052.32/271,308.95
  6. Step 6: Final answer
    x = 137,138.02

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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.