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Finding the Fourth Proportional to 70,525, 105,791.82 and 21,277

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Solution

The fourth proportional to 70,525, 105,791.82 and 21,277 is: 31,916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,525 : 105,791.82 = 21,277 : x
  2. Step 2: Convert to fraction form
    70,525/105,791.82 = 21,277/x
  3. Step 3: Cross multiply
    70,525x = 105,791.82 × 21,277
  4. Step 4: Simplify right side
    70,525x = 2,250,932,554.14
  5. Step 5: Solve for x
    x = 2,250,932,554.14/70,525
  6. Step 6: Final answer
    x = 31,916.80

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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.