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Finding the Fourth Proportional to 105,620.40, 158,481.36 and 65,628.54

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Solution

The fourth proportional to 105,620.40, 158,481.36 and 65,628.54 is: 98,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,620.40 : 158,481.36 = 65,628.54 : x
  2. Step 2: Convert to fraction form
    105,620.40/158,481.36 = 65,628.54/x
  3. Step 3: Cross multiply
    105,620.40x = 158,481.36 × 65,628.54
  4. Step 4: Simplify right side
    105,620.40x = 10,400,900,274.01
  5. Step 5: Solve for x
    x = 10,400,900,274.01/105,620.40
  6. Step 6: Final answer
    x = 98,474.35

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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.