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Finding the Fourth Proportional to 271,341.32, 407,031.41 and 71,659.71

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Solution

The fourth proportional to 271,341.32, 407,031.41 and 71,659.71 is: 107,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,341.32 : 407,031.41 = 71,659.71 : x
  2. Step 2: Convert to fraction form
    271,341.32/407,031.41 = 71,659.71/x
  3. Step 3: Cross multiply
    271,341.32x = 407,031.41 × 71,659.71
  4. Step 4: Simplify right side
    271,341.32x = 29,167,752,980.64
  5. Step 5: Solve for x
    x = 29,167,752,980.64/271,341.32
  6. Step 6: Final answer
    x = 107,494.70

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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.