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Finding the Fourth Proportional to 147,851, 204,034.56 and 80,783

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Solution

The fourth proportional to 147,851, 204,034.56 and 80,783 is: 111,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,851 : 204,034.56 = 80,783 : x
  2. Step 2: Convert to fraction form
    147,851/204,034.56 = 80,783/x
  3. Step 3: Cross multiply
    147,851x = 204,034.56 × 80,783
  4. Step 4: Simplify right side
    147,851x = 16,482,523,860.48
  5. Step 5: Solve for x
    x = 16,482,523,860.48/147,851
  6. Step 6: Final answer
    x = 111,480.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.