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Finding the Fourth Proportional to 151,915.44, 209,647.84 and 84,846

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Solution

The fourth proportional to 151,915.44, 209,647.84 and 84,846 is: 117,090.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,915.44 : 209,647.84 = 84,846 : x
  2. Step 2: Convert to fraction form
    151,915.44/209,647.84 = 84,846/x
  3. Step 3: Cross multiply
    151,915.44x = 209,647.84 × 84,846
  4. Step 4: Simplify right side
    151,915.44x = 17,787,780,632.64
  5. Step 5: Solve for x
    x = 17,787,780,632.64/151,915.44
  6. Step 6: Final answer
    x = 117,090.01

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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.