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Finding the Fourth Proportional to 201,878.02, 302,825.40 and 75,505.60

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Solution

The fourth proportional to 201,878.02, 302,825.40 and 75,505.60 is: 113,261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,878.02 : 302,825.40 = 75,505.60 : x
  2. Step 2: Convert to fraction form
    201,878.02/302,825.40 = 75,505.60/x
  3. Step 3: Cross multiply
    201,878.02x = 302,825.40 × 75,505.60
  4. Step 4: Simplify right side
    201,878.02x = 22,865,013,522.24
  5. Step 5: Solve for x
    x = 22,865,013,522.24/201,878.02
  6. Step 6: Final answer
    x = 113,261.53

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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.