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Finding the Fourth Proportional to 271,849.57, 407,670.42 and 89,437.92

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Solution

The fourth proportional to 271,849.57, 407,670.42 and 89,437.92 is: 134,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,849.57 : 407,670.42 = 89,437.92 : x
  2. Step 2: Convert to fraction form
    271,849.57/407,670.42 = 89,437.92/x
  3. Step 3: Cross multiply
    271,849.57x = 407,670.42 × 89,437.92
  4. Step 4: Simplify right side
    271,849.57x = 36,461,195,007.01
  5. Step 5: Solve for x
    x = 36,461,195,007.01/271,849.57
  6. Step 6: Final answer
    x = 134,122.69

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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.