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Finding the Fourth Proportional to 203,894, 281,395.78 and 123,365.92

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Solution

The fourth proportional to 203,894, 281,395.78 and 123,365.92 is: 170,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,894 : 281,395.78 = 123,365.92 : x
  2. Step 2: Convert to fraction form
    203,894/281,395.78 = 123,365.92/x
  3. Step 3: Cross multiply
    203,894x = 281,395.78 × 123,365.92
  4. Step 4: Simplify right side
    203,894x = 34,714,649,283.82
  5. Step 5: Solve for x
    x = 34,714,649,283.82/203,894
  6. Step 6: Final answer
    x = 170,258.32

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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.