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Finding the Fourth Proportional to 204,912, 282,804.48 and 115,488

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Solution

The fourth proportional to 204,912, 282,804.48 and 115,488 is: 159,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,912 : 282,804.48 = 115,488 : x
  2. Step 2: Convert to fraction form
    204,912/282,804.48 = 115,488/x
  3. Step 3: Cross multiply
    204,912x = 282,804.48 × 115,488
  4. Step 4: Simplify right side
    204,912x = 32,660,523,786.24
  5. Step 5: Solve for x
    x = 32,660,523,786.24/204,912
  6. Step 6: Final answer
    x = 159,388.05

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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.