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Finding the Fourth Proportional to 55,274.40, 82,922.40 and 21,988.80

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Solution

The fourth proportional to 55,274.40, 82,922.40 and 21,988.80 is: 32,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,274.40 : 82,922.40 = 21,988.80 : x
  2. Step 2: Convert to fraction form
    55,274.40/82,922.40 = 21,988.80/x
  3. Step 3: Cross multiply
    55,274.40x = 82,922.40 × 21,988.80
  4. Step 4: Simplify right side
    55,274.40x = 1,823,364,069.12
  5. Step 5: Solve for x
    x = 1,823,364,069.12/55,274.40
  6. Step 6: Final answer
    x = 32,987.50

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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.