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Finding the Fourth Proportional to 138,093, 207,055.64 and 90,097.26

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Solution

The fourth proportional to 138,093, 207,055.64 and 90,097.26 is: 135,091.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,093 : 207,055.64 = 90,097.26 : x
  2. Step 2: Convert to fraction form
    138,093/207,055.64 = 90,097.26/x
  3. Step 3: Cross multiply
    138,093x = 207,055.64 × 90,097.26
  4. Step 4: Simplify right side
    138,093x = 18,655,145,831.55
  5. Step 5: Solve for x
    x = 18,655,145,831.55/138,093
  6. Step 6: Final answer
    x = 135,091.18

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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.