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Finding the Fourth Proportional to 171,431.42, 257,187.90 and 71,536.10

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Solution

The fourth proportional to 171,431.42, 257,187.90 and 71,536.10 is: 107,321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,431.42 : 257,187.90 = 71,536.10 : x
  2. Step 2: Convert to fraction form
    171,431.42/257,187.90 = 71,536.10/x
  3. Step 3: Cross multiply
    171,431.42x = 257,187.90 × 71,536.10
  4. Step 4: Simplify right side
    171,431.42x = 18,398,219,333.19
  5. Step 5: Solve for x
    x = 18,398,219,333.19/171,431.42
  6. Step 6: Final answer
    x = 107,321.16

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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.