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Finding the Fourth Proportional to 34,165, 47,147.71 and 19,261

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Solution

The fourth proportional to 34,165, 47,147.71 and 19,261 is: 26,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,165 : 47,147.71 = 19,261 : x
  2. Step 2: Convert to fraction form
    34,165/47,147.71 = 19,261/x
  3. Step 3: Cross multiply
    34,165x = 47,147.71 × 19,261
  4. Step 4: Simplify right side
    34,165x = 908,112,042.31
  5. Step 5: Solve for x
    x = 908,112,042.31/34,165
  6. Step 6: Final answer
    x = 26,580.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.