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Finding the Fourth Proportional to 92,119.52, 137,460.80 and 82,190.48

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Solution

The fourth proportional to 92,119.52, 137,460.80 and 82,190.48 is: 122,644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,119.52 : 137,460.80 = 82,190.48 : x
  2. Step 2: Convert to fraction form
    92,119.52/137,460.80 = 82,190.48/x
  3. Step 3: Cross multiply
    92,119.52x = 137,460.80 × 82,190.48
  4. Step 4: Simplify right side
    92,119.52x = 11,297,969,133.18
  5. Step 5: Solve for x
    x = 11,297,969,133.18/92,119.52
  6. Step 6: Final answer
    x = 122,644.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.