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Finding the Fourth Proportional to 201,915.28, 278,644.94 and 111,274.48

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Solution

The fourth proportional to 201,915.28, 278,644.94 and 111,274.48 is: 153,559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,915.28 : 278,644.94 = 111,274.48 : x
  2. Step 2: Convert to fraction form
    201,915.28/278,644.94 = 111,274.48/x
  3. Step 3: Cross multiply
    201,915.28x = 278,644.94 × 111,274.48
  4. Step 4: Simplify right side
    201,915.28x = 31,006,070,803.13
  5. Step 5: Solve for x
    x = 31,006,070,803.13/201,915.28
  6. Step 6: Final answer
    x = 153,559.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.