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Finding the Fourth Proportional to 53,856, 74,321.28 and 30,304

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Solution

The fourth proportional to 53,856, 74,321.28 and 30,304 is: 41,819.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,856 : 74,321.28 = 30,304 : x
  2. Step 2: Convert to fraction form
    53,856/74,321.28 = 30,304/x
  3. Step 3: Cross multiply
    53,856x = 74,321.28 × 30,304
  4. Step 4: Simplify right side
    53,856x = 2,252,232,069.12
  5. Step 5: Solve for x
    x = 2,252,232,069.12/53,856
  6. Step 6: Final answer
    x = 41,819.52

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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.