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Finding the Fourth Proportional to 54,782.82, 82,220.85 and 21,526.14

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Solution

The fourth proportional to 54,782.82, 82,220.85 and 21,526.14 is: 32,307.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,782.82 : 82,220.85 = 21,526.14 : x
  2. Step 2: Convert to fraction form
    54,782.82/82,220.85 = 21,526.14/x
  3. Step 3: Cross multiply
    54,782.82x = 82,220.85 × 21,526.14
  4. Step 4: Simplify right side
    54,782.82x = 1,769,897,528.02
  5. Step 5: Solve for x
    x = 1,769,897,528.02/54,782.82
  6. Step 6: Final answer
    x = 32,307.53

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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.