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Finding the Fourth Proportional to 216,573.50, 324,915.60 and 83,418.00

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Solution

The fourth proportional to 216,573.50, 324,915.60 and 83,418.00 is: 125,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,573.50 : 324,915.60 = 83,418.00 : x
  2. Step 2: Convert to fraction form
    216,573.50/324,915.60 = 83,418.00/x
  3. Step 3: Cross multiply
    216,573.50x = 324,915.60 × 83,418.00
  4. Step 4: Simplify right side
    216,573.50x = 27,103,810,442.83
  5. Step 5: Solve for x
    x = 27,103,810,442.83/216,573.50
  6. Step 6: Final answer
    x = 125,148.33

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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.