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Finding the Fourth Proportional to 98,619, 136,094.22 and 53,907

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Solution

The fourth proportional to 98,619, 136,094.22 and 53,907 is: 74,391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,619 : 136,094.22 = 53,907 : x
  2. Step 2: Convert to fraction form
    98,619/136,094.22 = 53,907/x
  3. Step 3: Cross multiply
    98,619x = 136,094.22 × 53,907
  4. Step 4: Simplify right side
    98,619x = 7,336,431,117.54
  5. Step 5: Solve for x
    x = 7,336,431,117.54/98,619
  6. Step 6: Final answer
    x = 74,391.66

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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.