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Finding the Fourth Proportional to 171,353.70, 257,002.20 and 57,500.10

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Solution

The fourth proportional to 171,353.70, 257,002.20 and 57,500.10 is: 86,240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,353.70 : 257,002.20 = 57,500.10 : x
  2. Step 2: Convert to fraction form
    171,353.70/257,002.20 = 57,500.10/x
  3. Step 3: Cross multiply
    171,353.70x = 257,002.20 × 57,500.10
  4. Step 4: Simplify right side
    171,353.70x = 14,777,652,200.22
  5. Step 5: Solve for x
    x = 14,777,652,200.22/171,353.70
  6. Step 6: Final answer
    x = 86,240.64

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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.