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Finding the Fourth Proportional to 208,559.56, 312,851.52 and 80,476.52

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Solution

The fourth proportional to 208,559.56, 312,851.52 and 80,476.52 is: 120,719.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,559.56 : 312,851.52 = 80,476.52 : x
  2. Step 2: Convert to fraction form
    208,559.56/312,851.52 = 80,476.52/x
  3. Step 3: Cross multiply
    208,559.56x = 312,851.52 × 80,476.52
  4. Step 4: Simplify right side
    208,559.56x = 25,177,201,606.31
  5. Step 5: Solve for x
    x = 25,177,201,606.31/208,559.56
  6. Step 6: Final answer
    x = 120,719.48

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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.