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Finding the Fourth Proportional to 54,220.32, 74,824.04 and 30,347

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Solution

The fourth proportional to 54,220.32, 74,824.04 and 30,347 is: 41,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,220.32 : 74,824.04 = 30,347 : x
  2. Step 2: Convert to fraction form
    54,220.32/74,824.04 = 30,347/x
  3. Step 3: Cross multiply
    54,220.32x = 74,824.04 × 30,347
  4. Step 4: Simplify right side
    54,220.32x = 2,270,685,141.88
  5. Step 5: Solve for x
    x = 2,270,685,141.88/54,220.32
  6. Step 6: Final answer
    x = 41,878.86

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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.