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Finding the Fourth Proportional to 91,628.40, 137,442.60 and 54,764.40

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Solution

The fourth proportional to 91,628.40, 137,442.60 and 54,764.40 is: 82,146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,628.40 : 137,442.60 = 54,764.40 : x
  2. Step 2: Convert to fraction form
    91,628.40/137,442.60 = 54,764.40/x
  3. Step 3: Cross multiply
    91,628.40x = 137,442.60 × 54,764.40
  4. Step 4: Simplify right side
    91,628.40x = 7,526,961,523.44
  5. Step 5: Solve for x
    x = 7,526,961,523.44/91,628.40
  6. Step 6: Final answer
    x = 82,146.60

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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.