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Finding the Fourth Proportional to 55,206.16, 82,823.04 and 21,915.22

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Solution

The fourth proportional to 55,206.16, 82,823.04 and 21,915.22 is: 32,878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,206.16 : 82,823.04 = 21,915.22 : x
  2. Step 2: Convert to fraction form
    55,206.16/82,823.04 = 21,915.22/x
  3. Step 3: Cross multiply
    55,206.16x = 82,823.04 × 21,915.22
  4. Step 4: Simplify right side
    55,206.16x = 1,815,085,142.67
  5. Step 5: Solve for x
    x = 1,815,085,142.67/55,206.16
  6. Step 6: Final answer
    x = 32,878.31

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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.