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Finding the Fourth Proportional to 257,963.25, 355,969.76 and 144,764.13

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Solution

The fourth proportional to 257,963.25, 355,969.76 and 144,764.13 is: 199,763.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,963.25 : 355,969.76 = 144,764.13 : x
  2. Step 2: Convert to fraction form
    257,963.25/355,969.76 = 144,764.13/x
  3. Step 3: Cross multiply
    257,963.25x = 355,969.76 × 144,764.13
  4. Step 4: Simplify right side
    257,963.25x = 51,531,651,194.77
  5. Step 5: Solve for x
    x = 51,531,651,194.77/257,963.25
  6. Step 6: Final answer
    x = 199,763.54

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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.