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Finding the Fourth Proportional to 271,367.42, 407,070.72 and 71,685.23

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Solution

The fourth proportional to 271,367.42, 407,070.72 and 71,685.23 is: 107,533.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,367.42 : 407,070.72 = 71,685.23 : x
  2. Step 2: Convert to fraction form
    271,367.42/407,070.72 = 71,685.23/x
  3. Step 3: Cross multiply
    271,367.42x = 407,070.72 × 71,685.23
  4. Step 4: Simplify right side
    271,367.42x = 29,180,956,154.11
  5. Step 5: Solve for x
    x = 29,180,956,154.11/271,367.42
  6. Step 6: Final answer
    x = 107,533.01

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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.