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Finding the Fourth Proportional to 171,665.40, 257,517.30 and 53,335.80

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Solution

The fourth proportional to 171,665.40, 257,517.30 and 53,335.80 is: 80,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,665.40 : 257,517.30 = 53,335.80 : x
  2. Step 2: Convert to fraction form
    171,665.40/257,517.30 = 53,335.80/x
  3. Step 3: Cross multiply
    171,665.40x = 257,517.30 × 53,335.80
  4. Step 4: Simplify right side
    171,665.40x = 13,734,891,209.34
  5. Step 5: Solve for x
    x = 13,734,891,209.34/171,665.40
  6. Step 6: Final answer
    x = 80,009.67

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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.