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Finding the Fourth Proportional to 131,266.40, 196,851 and 103,241

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Solution

The fourth proportional to 131,266.40, 196,851 and 103,241 is: 154,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,266.40 : 196,851 = 103,241 : x
  2. Step 2: Convert to fraction form
    131,266.40/196,851 = 103,241/x
  3. Step 3: Cross multiply
    131,266.40x = 196,851 × 103,241
  4. Step 4: Simplify right side
    131,266.40x = 20,323,094,091
  5. Step 5: Solve for x
    x = 20,323,094,091/131,266.40
  6. Step 6: Final answer
    x = 154,823.28

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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.