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Finding the Fourth Proportional to 202,915.20, 302,906.40 and 178,032

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Solution

The fourth proportional to 202,915.20, 302,906.40 and 178,032 is: 265,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,915.20 : 302,906.40 = 178,032 : x
  2. Step 2: Convert to fraction form
    202,915.20/302,906.40 = 178,032/x
  3. Step 3: Cross multiply
    202,915.20x = 302,906.40 × 178,032
  4. Step 4: Simplify right side
    202,915.20x = 53,927,032,204.80
  5. Step 5: Solve for x
    x = 53,927,032,204.80/202,915.20
  6. Step 6: Final answer
    x = 265,761.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.