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Finding the Fourth Proportional to 171,443.19, 257,040.20 and 71,631.93

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Solution

The fourth proportional to 171,443.19, 257,040.20 and 71,631.93 is: 107,395.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,443.19 : 257,040.20 = 71,631.93 : x
  2. Step 2: Convert to fraction form
    171,443.19/257,040.20 = 71,631.93/x
  3. Step 3: Cross multiply
    171,443.19x = 257,040.20 × 71,631.93
  4. Step 4: Simplify right side
    171,443.19x = 18,412,285,613.59
  5. Step 5: Solve for x
    x = 18,412,285,613.59/171,443.19
  6. Step 6: Final answer
    x = 107,395.84

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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.