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Finding the Fourth Proportional to 101,817.44, 152,664.78 and 45,647.40

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Solution

The fourth proportional to 101,817.44, 152,664.78 and 45,647.40 is: 68,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,817.44 : 152,664.78 = 45,647.40 : x
  2. Step 2: Convert to fraction form
    101,817.44/152,664.78 = 45,647.40/x
  3. Step 3: Cross multiply
    101,817.44x = 152,664.78 × 45,647.40
  4. Step 4: Simplify right side
    101,817.44x = 6,968,750,278.57
  5. Step 5: Solve for x
    x = 6,968,750,278.57/101,817.44
  6. Step 6: Final answer
    x = 68,443.58

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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.