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Finding the Fourth Proportional to 201,915.14, 278,644 and 115,867.28

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Solution

The fourth proportional to 201,915.14, 278,644 and 115,867.28 is: 159,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,915.14 : 278,644 = 115,867.28 : x
  2. Step 2: Convert to fraction form
    201,915.14/278,644 = 115,867.28/x
  3. Step 3: Cross multiply
    201,915.14x = 278,644 × 115,867.28
  4. Step 4: Simplify right side
    201,915.14x = 32,285,722,368.32
  5. Step 5: Solve for x
    x = 32,285,722,368.32/201,915.14
  6. Step 6: Final answer
    x = 159,897.49

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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.