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Finding the Fourth Proportional to 257,141.63, 354,843.54 and 142,412.51

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Solution

The fourth proportional to 257,141.63, 354,843.54 and 142,412.51 is: 196,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,141.63 : 354,843.54 = 142,412.51 : x
  2. Step 2: Convert to fraction form
    257,141.63/354,843.54 = 142,412.51/x
  3. Step 3: Cross multiply
    257,141.63x = 354,843.54 × 142,412.51
  4. Step 4: Simplify right side
    257,141.63x = 50,534,157,414.47
  5. Step 5: Solve for x
    x = 50,534,157,414.47/257,141.63
  6. Step 6: Final answer
    x = 196,522.66

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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.