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Finding the Fourth Proportional to 98,290.36, 135,635.58 and 55,843

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Solution

The fourth proportional to 98,290.36, 135,635.58 and 55,843 is: 77,060.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,290.36 : 135,635.58 = 55,843 : x
  2. Step 2: Convert to fraction form
    98,290.36/135,635.58 = 55,843/x
  3. Step 3: Cross multiply
    98,290.36x = 135,635.58 × 55,843
  4. Step 4: Simplify right side
    98,290.36x = 7,574,297,693.94
  5. Step 5: Solve for x
    x = 7,574,297,693.94/98,290.36
  6. Step 6: Final answer
    x = 77,060.43

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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.