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Finding the Fourth Proportional to 34,146, 47,122 and 19,242

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Solution

The fourth proportional to 34,146, 47,122 and 19,242 is: 26,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,146 : 47,122 = 19,242 : x
  2. Step 2: Convert to fraction form
    34,146/47,122 = 19,242/x
  3. Step 3: Cross multiply
    34,146x = 47,122 × 19,242
  4. Step 4: Simplify right side
    34,146x = 906,721,524
  5. Step 5: Solve for x
    x = 906,721,524/34,146
  6. Step 6: Final answer
    x = 26,554.25

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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.