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Finding the Fourth Proportional to 255,890, 353,128.22 and 142,710.32

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Solution

The fourth proportional to 255,890, 353,128.22 and 142,710.32 is: 196,940.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,890 : 353,128.22 = 142,710.32 : x
  2. Step 2: Convert to fraction form
    255,890/353,128.22 = 142,710.32/x
  3. Step 3: Cross multiply
    255,890x = 353,128.22 × 142,710.32
  4. Step 4: Simplify right side
    255,890x = 50,395,041,277.23
  5. Step 5: Solve for x
    x = 50,395,041,277.23/255,890
  6. Step 6: Final answer
    x = 196,940.25

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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.