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Finding the Fourth Proportional to 216,915.20, 325,511.04 and 92,256

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Solution

The fourth proportional to 216,915.20, 325,511.04 and 92,256 is: 138,442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,915.20 : 325,511.04 = 92,256 : x
  2. Step 2: Convert to fraction form
    216,915.20/325,511.04 = 92,256/x
  3. Step 3: Cross multiply
    216,915.20x = 325,511.04 × 92,256
  4. Step 4: Simplify right side
    216,915.20x = 30,030,346,506.24
  5. Step 5: Solve for x
    x = 30,030,346,506.24/216,915.20
  6. Step 6: Final answer
    x = 138,442.79

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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.