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Finding the Fourth Proportional to 135,884.55, 203,862.97 and 47,137.91

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Solution

The fourth proportional to 135,884.55, 203,862.97 and 47,137.91 is: 70,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,884.55 : 203,862.97 = 47,137.91 : x
  2. Step 2: Convert to fraction form
    135,884.55/203,862.97 = 47,137.91/x
  3. Step 3: Cross multiply
    135,884.55x = 203,862.97 × 47,137.91
  4. Step 4: Simplify right side
    135,884.55x = 9,609,674,096.50
  5. Step 5: Solve for x
    x = 9,609,674,096.50/135,884.55
  6. Step 6: Final answer
    x = 70,719.40

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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.