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Finding the Fourth Proportional to 51,728.80, 77,708.40 and 49,629.60

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Solution

The fourth proportional to 51,728.80, 77,708.40 and 49,629.60 is: 74,554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,728.80 : 77,708.40 = 49,629.60 : x
  2. Step 2: Convert to fraction form
    51,728.80/77,708.40 = 49,629.60/x
  3. Step 3: Cross multiply
    51,728.80x = 77,708.40 × 49,629.60
  4. Step 4: Simplify right side
    51,728.80x = 3,856,636,808.64
  5. Step 5: Solve for x
    x = 3,856,636,808.64/51,728.80
  6. Step 6: Final answer
    x = 74,554.93

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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.