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Finding the Fourth Proportional to 107,146.26, 147,657.94 and 78,474.69

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Solution

The fourth proportional to 107,146.26, 147,657.94 and 78,474.69 is: 108,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,146.26 : 147,657.94 = 78,474.69 : x
  2. Step 2: Convert to fraction form
    107,146.26/147,657.94 = 78,474.69/x
  3. Step 3: Cross multiply
    107,146.26x = 147,657.94 × 78,474.69
  4. Step 4: Simplify right side
    107,146.26x = 11,587,410,871.35
  5. Step 5: Solve for x
    x = 11,587,410,871.35/107,146.26
  6. Step 6: Final answer
    x = 108,145.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.