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Finding the Fourth Proportional to 53,760, 74,188.80 and 30,208

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Solution

The fourth proportional to 53,760, 74,188.80 and 30,208 is: 41,687.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,760 : 74,188.80 = 30,208 : x
  2. Step 2: Convert to fraction form
    53,760/74,188.80 = 30,208/x
  3. Step 3: Cross multiply
    53,760x = 74,188.80 × 30,208
  4. Step 4: Simplify right side
    53,760x = 2,241,095,270.40
  5. Step 5: Solve for x
    x = 2,241,095,270.40/53,760
  6. Step 6: Final answer
    x = 41,687.04

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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.