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Finding the Fourth Proportional to 257,937.75, 355,969.89 and 144,760.50

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Solution

The fourth proportional to 257,937.75, 355,969.89 and 144,760.50 is: 199,778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,937.75 : 355,969.89 = 144,760.50 : x
  2. Step 2: Convert to fraction form
    257,937.75/355,969.89 = 144,760.50/x
  3. Step 3: Cross multiply
    257,937.75x = 355,969.89 × 144,760.50
  4. Step 4: Simplify right side
    257,937.75x = 51,530,379,261.35
  5. Step 5: Solve for x
    x = 51,530,379,261.35/257,937.75
  6. Step 6: Final answer
    x = 199,778.35

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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.