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Finding the Fourth Proportional to 271,134.45, 406,699.63 and 81,594

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Solution

The fourth proportional to 271,134.45, 406,699.63 and 81,594 is: 122,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,134.45 : 406,699.63 = 81,594 : x
  2. Step 2: Convert to fraction form
    271,134.45/406,699.63 = 81,594/x
  3. Step 3: Cross multiply
    271,134.45x = 406,699.63 × 81,594
  4. Step 4: Simplify right side
    271,134.45x = 33,184,249,406.24
  5. Step 5: Solve for x
    x = 33,184,249,406.24/271,134.45
  6. Step 6: Final answer
    x = 122,390.38

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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.