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Finding the Fourth Proportional to 73,294, 101,146.26 and 39,760

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Solution

The fourth proportional to 73,294, 101,146.26 and 39,760 is: 54,869.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,294 : 101,146.26 = 39,760 : x
  2. Step 2: Convert to fraction form
    73,294/101,146.26 = 39,760/x
  3. Step 3: Cross multiply
    73,294x = 101,146.26 × 39,760
  4. Step 4: Simplify right side
    73,294x = 4,021,575,297.60
  5. Step 5: Solve for x
    x = 4,021,575,297.60/73,294
  6. Step 6: Final answer
    x = 54,869.09

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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.