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Finding the Fourth Proportional to 54,215.69, 81,261.14 and 20,921.03

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Solution

The fourth proportional to 54,215.69, 81,261.14 and 20,921.03 is: 31,357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,215.69 : 81,261.14 = 20,921.03 : x
  2. Step 2: Convert to fraction form
    54,215.69/81,261.14 = 20,921.03/x
  3. Step 3: Cross multiply
    54,215.69x = 81,261.14 × 20,921.03
  4. Step 4: Simplify right side
    54,215.69x = 1,700,066,643.17
  5. Step 5: Solve for x
    x = 1,700,066,643.17/54,215.69
  6. Step 6: Final answer
    x = 31,357.47

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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.