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Finding the Fourth Proportional to 158,494.89, 218,745.38 and 98,085

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Solution

The fourth proportional to 158,494.89, 218,745.38 and 98,085 is: 135,371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,494.89 : 218,745.38 = 98,085 : x
  2. Step 2: Convert to fraction form
    158,494.89/218,745.38 = 98,085/x
  3. Step 3: Cross multiply
    158,494.89x = 218,745.38 × 98,085
  4. Step 4: Simplify right side
    158,494.89x = 21,455,640,106.88
  5. Step 5: Solve for x
    x = 21,455,640,106.88/158,494.89
  6. Step 6: Final answer
    x = 135,371.18

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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.