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Finding the Fourth Proportional to 202,103.28, 278,915.31 and 111,459.42

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Solution

The fourth proportional to 202,103.28, 278,915.31 and 111,459.42 is: 153,821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,103.28 : 278,915.31 = 111,459.42 : x
  2. Step 2: Convert to fraction form
    202,103.28/278,915.31 = 111,459.42/x
  3. Step 3: Cross multiply
    202,103.28x = 278,915.31 × 111,459.42
  4. Step 4: Simplify right side
    202,103.28x = 31,087,738,681.72
  5. Step 5: Solve for x
    x = 31,087,738,681.72/202,103.28
  6. Step 6: Final answer
    x = 153,821.05

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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.