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Finding the Fourth Proportional to 54,216.48, 81,323.76 and 21,384.48

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Solution

The fourth proportional to 54,216.48, 81,323.76 and 21,384.48 is: 32,076.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,216.48 : 81,323.76 = 21,384.48 : x
  2. Step 2: Convert to fraction form
    54,216.48/81,323.76 = 21,384.48/x
  3. Step 3: Cross multiply
    54,216.48x = 81,323.76 × 21,384.48
  4. Step 4: Simplify right side
    54,216.48x = 1,739,066,319.24
  5. Step 5: Solve for x
    x = 1,739,066,319.24/54,216.48
  6. Step 6: Final answer
    x = 32,076.34

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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.