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Finding the Fourth Proportional to 171,723.40, 257,585.10 and 53,406.70

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Solution

The fourth proportional to 171,723.40, 257,585.10 and 53,406.70 is: 80,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,723.40 : 257,585.10 = 53,406.70 : x
  2. Step 2: Convert to fraction form
    171,723.40/257,585.10 = 53,406.70/x
  3. Step 3: Cross multiply
    171,723.40x = 257,585.10 × 53,406.70
  4. Step 4: Simplify right side
    171,723.40x = 13,756,770,160.17
  5. Step 5: Solve for x
    x = 13,756,770,160.17/171,723.40
  6. Step 6: Final answer
    x = 80,110.05

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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.