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Finding the Fourth Proportional to 271,306.79, 407,018.51 and 91,410.10

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Solution

The fourth proportional to 271,306.79, 407,018.51 and 91,410.10 is: 137,134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,306.79 : 407,018.51 = 91,410.10 : x
  2. Step 2: Convert to fraction form
    271,306.79/407,018.51 = 91,410.10/x
  3. Step 3: Cross multiply
    271,306.79x = 407,018.51 × 91,410.10
  4. Step 4: Simplify right side
    271,306.79x = 37,205,601,226.35
  5. Step 5: Solve for x
    x = 37,205,601,226.35/271,306.79
  6. Step 6: Final answer
    x = 137,134.79

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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.