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Finding the Fourth Proportional to 255,904, 353,147.52 and 142,726.84

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Solution

The fourth proportional to 255,904, 353,147.52 and 142,726.84 is: 196,963.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,904 : 353,147.52 = 142,726.84 : x
  2. Step 2: Convert to fraction form
    255,904/353,147.52 = 142,726.84/x
  3. Step 3: Cross multiply
    255,904x = 353,147.52 × 142,726.84
  4. Step 4: Simplify right side
    255,904x = 50,403,629,583.44
  5. Step 5: Solve for x
    x = 50,403,629,583.44/255,904
  6. Step 6: Final answer
    x = 196,963.04

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1.5x scale

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.