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Finding the Fourth Proportional to 106,934, 147,601.78 and 61,642.26

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Solution

The fourth proportional to 106,934, 147,601.78 and 61,642.26 is: 85,085.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,934 : 147,601.78 = 61,642.26 : x
  2. Step 2: Convert to fraction form
    106,934/147,601.78 = 61,642.26/x
  3. Step 3: Cross multiply
    106,934x = 147,601.78 × 61,642.26
  4. Step 4: Simplify right side
    106,934x = 9,098,507,299.22
  5. Step 5: Solve for x
    x = 9,098,507,299.22/106,934
  6. Step 6: Final answer
    x = 85,085.26

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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.