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Finding the Fourth Proportional to 171,697.42, 257,542.20 and 45,346.57

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Solution

The fourth proportional to 171,697.42, 257,542.20 and 45,346.57 is: 68,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,697.42 : 257,542.20 = 45,346.57 : x
  2. Step 2: Convert to fraction form
    171,697.42/257,542.20 = 45,346.57/x
  3. Step 3: Cross multiply
    171,697.42x = 257,542.20 × 45,346.57
  4. Step 4: Simplify right side
    171,697.42x = 11,678,655,400.25
  5. Step 5: Solve for x
    x = 11,678,655,400.25/171,697.42
  6. Step 6: Final answer
    x = 68,018.82

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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.