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Finding the Fourth Proportional to 131,391.64, 197,028.06 and 61,291

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Solution

The fourth proportional to 131,391.64, 197,028.06 and 61,291 is: 91,908.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,391.64 : 197,028.06 = 61,291 : x
  2. Step 2: Convert to fraction form
    131,391.64/197,028.06 = 61,291/x
  3. Step 3: Cross multiply
    131,391.64x = 197,028.06 × 61,291
  4. Step 4: Simplify right side
    131,391.64x = 12,076,046,825.46
  5. Step 5: Solve for x
    x = 12,076,046,825.46/131,391.64
  6. Step 6: Final answer
    x = 91,908.79

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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.