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Finding the Fourth Proportional to 271,315.68, 407,031.90 and 91,419

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Solution

The fourth proportional to 271,315.68, 407,031.90 and 91,419 is: 137,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,315.68 : 407,031.90 = 91,419 : x
  2. Step 2: Convert to fraction form
    271,315.68/407,031.90 = 91,419/x
  3. Step 3: Cross multiply
    271,315.68x = 407,031.90 × 91,419
  4. Step 4: Simplify right side
    271,315.68x = 37,210,449,266.10
  5. Step 5: Solve for x
    x = 37,210,449,266.10/271,315.68
  6. Step 6: Final answer
    x = 137,148.17

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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.