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Finding the Fourth Proportional to 100,131.75, 138,181.95 and 62,406

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Solution

The fourth proportional to 100,131.75, 138,181.95 and 62,406 is: 86,120.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,131.75 : 138,181.95 = 62,406 : x
  2. Step 2: Convert to fraction form
    100,131.75/138,181.95 = 62,406/x
  3. Step 3: Cross multiply
    100,131.75x = 138,181.95 × 62,406
  4. Step 4: Simplify right side
    100,131.75x = 8,623,382,771.70
  5. Step 5: Solve for x
    x = 8,623,382,771.70/100,131.75
  6. Step 6: Final answer
    x = 86,120.36

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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.