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Finding the Fourth Proportional to 203,681.62, 281,017.65 and 118,738.54

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Solution

The fourth proportional to 203,681.62, 281,017.65 and 118,738.54 is: 163,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,681.62 : 281,017.65 = 118,738.54 : x
  2. Step 2: Convert to fraction form
    203,681.62/281,017.65 = 118,738.54/x
  3. Step 3: Cross multiply
    203,681.62x = 281,017.65 × 118,738.54
  4. Step 4: Simplify right side
    203,681.62x = 33,367,625,475.23
  5. Step 5: Solve for x
    x = 33,367,625,475.23/203,681.62
  6. Step 6: Final answer
    x = 163,822.47

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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.