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Finding the Fourth Proportional to 47,766, 71,675.28 and 23,142

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Solution

The fourth proportional to 47,766, 71,675.28 and 23,142 is: 34,725.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,766 : 71,675.28 = 23,142 : x
  2. Step 2: Convert to fraction form
    47,766/71,675.28 = 23,142/x
  3. Step 3: Cross multiply
    47,766x = 71,675.28 × 23,142
  4. Step 4: Simplify right side
    47,766x = 1,658,709,329.76
  5. Step 5: Solve for x
    x = 1,658,709,329.76/47,766
  6. Step 6: Final answer
    x = 34,725.73

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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.