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Finding the Fourth Proportional to 54,643.42, 81,904.98 and 21,357.28

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Solution

The fourth proportional to 54,643.42, 81,904.98 and 21,357.28 is: 32,012.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,643.42 : 81,904.98 = 21,357.28 : x
  2. Step 2: Convert to fraction form
    54,643.42/81,904.98 = 21,357.28/x
  3. Step 3: Cross multiply
    54,643.42x = 81,904.98 × 21,357.28
  4. Step 4: Simplify right side
    54,643.42x = 1,749,267,591.25
  5. Step 5: Solve for x
    x = 1,749,267,591.25/54,643.42
  6. Step 6: Final answer
    x = 32,012.41

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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.