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Finding the Fourth Proportional to 105,660, 158,380.80 and 35,515.68

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Solution

The fourth proportional to 105,660, 158,380.80 and 35,515.68 is: 53,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,660 : 158,380.80 = 35,515.68 : x
  2. Step 2: Convert to fraction form
    105,660/158,380.80 = 35,515.68/x
  3. Step 3: Cross multiply
    105,660x = 158,380.80 × 35,515.68
  4. Step 4: Simplify right side
    105,660x = 5,625,001,810.94
  5. Step 5: Solve for x
    x = 5,625,001,810.94/105,660
  6. Step 6: Final answer
    x = 53,236.81

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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.