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Finding the Fourth Proportional to 54,816, 82,235.52 and 21,984

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Solution

The fourth proportional to 54,816, 82,235.52 and 21,984 is: 32,980.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,816 : 82,235.52 = 21,984 : x
  2. Step 2: Convert to fraction form
    54,816/82,235.52 = 21,984/x
  3. Step 3: Cross multiply
    54,816x = 82,235.52 × 21,984
  4. Step 4: Simplify right side
    54,816x = 1,807,865,671.68
  5. Step 5: Solve for x
    x = 1,807,865,671.68/54,816
  6. Step 6: Final answer
    x = 32,980.62

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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.