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Finding the Fourth Proportional to 135,706.40, 203,559.60 and 85,842.80

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Solution

The fourth proportional to 135,706.40, 203,559.60 and 85,842.80 is: 128,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,706.40 : 203,559.60 = 85,842.80 : x
  2. Step 2: Convert to fraction form
    135,706.40/203,559.60 = 85,842.80/x
  3. Step 3: Cross multiply
    135,706.40x = 203,559.60 × 85,842.80
  4. Step 4: Simplify right side
    135,706.40x = 17,474,126,030.88
  5. Step 5: Solve for x
    x = 17,474,126,030.88/135,706.40
  6. Step 6: Final answer
    x = 128,764.20

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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.