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Finding the Fourth Proportional to 54,261.80, 74,877.72 and 30,383

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Solution

The fourth proportional to 54,261.80, 74,877.72 and 30,383 is: 41,926.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,261.80 : 74,877.72 = 30,383 : x
  2. Step 2: Convert to fraction form
    54,261.80/74,877.72 = 30,383/x
  3. Step 3: Cross multiply
    54,261.80x = 74,877.72 × 30,383
  4. Step 4: Simplify right side
    54,261.80x = 2,275,009,766.76
  5. Step 5: Solve for x
    x = 2,275,009,766.76/54,261.80
  6. Step 6: Final answer
    x = 41,926.54

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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.