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Finding the Fourth Proportional to 186,048, 279,072 and 54,720

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Solution

The fourth proportional to 186,048, 279,072 and 54,720 is: 82,080

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,048 : 279,072 = 54,720 : x
  2. Step 2: Convert to fraction form
    186,048/279,072 = 54,720/x
  3. Step 3: Cross multiply
    186,048x = 279,072 × 54,720
  4. Step 4: Simplify right side
    186,048x = 15,270,819,840
  5. Step 5: Solve for x
    x = 15,270,819,840/186,048
  6. Step 6: Final answer
    x = 82,080

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.