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Finding the Fourth Proportional to 257,912.68, 355,954.26 and 144,741.64

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Solution

The fourth proportional to 257,912.68, 355,954.26 and 144,741.64 is: 199,762.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,912.68 : 355,954.26 = 144,741.64 : x
  2. Step 2: Convert to fraction form
    257,912.68/355,954.26 = 144,741.64/x
  3. Step 3: Cross multiply
    257,912.68x = 355,954.26 × 144,741.64
  4. Step 4: Simplify right side
    257,912.68x = 51,521,403,357.39
  5. Step 5: Solve for x
    x = 51,521,403,357.39/257,912.68
  6. Step 6: Final answer
    x = 199,762.97

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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.