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Finding the Fourth Proportional to 171,815.25, 257,727.74 and 47,156.25

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Solution

The fourth proportional to 171,815.25, 257,727.74 and 47,156.25 is: 70,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,815.25 : 257,727.74 = 47,156.25 : x
  2. Step 2: Convert to fraction form
    171,815.25/257,727.74 = 47,156.25/x
  3. Step 3: Cross multiply
    171,815.25x = 257,727.74 × 47,156.25
  4. Step 4: Simplify right side
    171,815.25x = 12,153,473,503.59
  5. Step 5: Solve for x
    x = 12,153,473,503.59/171,815.25
  6. Step 6: Final answer
    x = 70,735.71

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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.