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Finding the Fourth Proportional to 257,751.36, 355,698.81 and 143,030.43

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Solution

The fourth proportional to 257,751.36, 355,698.81 and 143,030.43 is: 197,383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,751.36 : 355,698.81 = 143,030.43 : x
  2. Step 2: Convert to fraction form
    257,751.36/355,698.81 = 143,030.43/x
  3. Step 3: Cross multiply
    257,751.36x = 355,698.81 × 143,030.43
  4. Step 4: Simplify right side
    257,751.36x = 50,875,753,744.79
  5. Step 5: Solve for x
    x = 50,875,753,744.79/257,751.36
  6. Step 6: Final answer
    x = 197,383.07

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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.