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Finding the Fourth Proportional to 256,634.93, 354,158.52 and 141,921.36

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Solution

The fourth proportional to 256,634.93, 354,158.52 and 141,921.36 is: 195,852.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,634.93 : 354,158.52 = 141,921.36 : x
  2. Step 2: Convert to fraction form
    256,634.93/354,158.52 = 141,921.36/x
  3. Step 3: Cross multiply
    256,634.93x = 354,158.52 × 141,921.36
  4. Step 4: Simplify right side
    256,634.93x = 50,262,657,684.87
  5. Step 5: Solve for x
    x = 50,262,657,684.87/256,634.93
  6. Step 6: Final answer
    x = 195,852.75

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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.