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Finding the Fourth Proportional to 221,915.40, 332,678.70 and 133,074.60

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Solution

The fourth proportional to 221,915.40, 332,678.70 and 133,074.60 is: 199,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,915.40 : 332,678.70 = 133,074.60 : x
  2. Step 2: Convert to fraction form
    221,915.40/332,678.70 = 133,074.60/x
  3. Step 3: Cross multiply
    221,915.40x = 332,678.70 × 133,074.60
  4. Step 4: Simplify right side
    221,915.40x = 44,271,084,931.02
  5. Step 5: Solve for x
    x = 44,271,084,931.02/221,915.40
  6. Step 6: Final answer
    x = 199,495.33

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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.