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Finding the Fourth Proportional to 218,157, 301,142.40 and 137,568.48

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Solution

The fourth proportional to 218,157, 301,142.40 and 137,568.48 is: 189,898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,157 : 301,142.40 = 137,568.48 : x
  2. Step 2: Convert to fraction form
    218,157/301,142.40 = 137,568.48/x
  3. Step 3: Cross multiply
    218,157x = 301,142.40 × 137,568.48
  4. Step 4: Simplify right side
    218,157x = 41,427,702,231.55
  5. Step 5: Solve for x
    x = 41,427,702,231.55/218,157
  6. Step 6: Final answer
    x = 189,898.57

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Why These Related Problems?

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