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Finding the Fourth Proportional to 114,706, 172,059 and 31,600

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Solution

The fourth proportional to 114,706, 172,059 and 31,600 is: 47,400

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,706 : 172,059 = 31,600 : x
  2. Step 2: Convert to fraction form
    114,706/172,059 = 31,600/x
  3. Step 3: Cross multiply
    114,706x = 172,059 × 31,600
  4. Step 4: Simplify right side
    114,706x = 5,437,064,400
  5. Step 5: Solve for x
    x = 5,437,064,400/114,706
  6. Step 6: Final answer
    x = 47,400

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.