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Finding the Fourth Proportional to 107,042.68, 147,770.22 and 75,238.84

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Solution

The fourth proportional to 107,042.68, 147,770.22 and 75,238.84 is: 103,865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,042.68 : 147,770.22 = 75,238.84 : x
  2. Step 2: Convert to fraction form
    107,042.68/147,770.22 = 75,238.84/x
  3. Step 3: Cross multiply
    107,042.68x = 147,770.22 × 75,238.84
  4. Step 4: Simplify right side
    107,042.68x = 11,118,059,939.34
  5. Step 5: Solve for x
    x = 11,118,059,939.34/107,042.68
  6. Step 6: Final answer
    x = 103,865.67

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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.