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Finding the Fourth Proportional to 146,377.53, 201,978.03 and 85,137.27

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Solution

The fourth proportional to 146,377.53, 201,978.03 and 85,137.27 is: 117,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,377.53 : 201,978.03 = 85,137.27 : x
  2. Step 2: Convert to fraction form
    146,377.53/201,978.03 = 85,137.27/x
  3. Step 3: Cross multiply
    146,377.53x = 201,978.03 × 85,137.27
  4. Step 4: Simplify right side
    146,377.53x = 17,195,858,074.18
  5. Step 5: Solve for x
    x = 17,195,858,074.18/146,377.53
  6. Step 6: Final answer
    x = 117,476.08

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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.