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Finding the Fourth Proportional to 171,563.60, 257,347.32 and 71,738.96

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Solution

The fourth proportional to 171,563.60, 257,347.32 and 71,738.96 is: 107,609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,563.60 : 257,347.32 = 71,738.96 : x
  2. Step 2: Convert to fraction form
    171,563.60/257,347.32 = 71,738.96/x
  3. Step 3: Cross multiply
    171,563.60x = 257,347.32 × 71,738.96
  4. Step 4: Simplify right side
    171,563.60x = 18,461,829,095.59
  5. Step 5: Solve for x
    x = 18,461,829,095.59/171,563.60
  6. Step 6: Final answer
    x = 107,609.24

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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.