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Finding the Fourth Proportional to 204,929, 282,804.18 and 115,505

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Solution

The fourth proportional to 204,929, 282,804.18 and 115,505 is: 159,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,929 : 282,804.18 = 115,505 : x
  2. Step 2: Convert to fraction form
    204,929/282,804.18 = 115,505/x
  3. Step 3: Cross multiply
    204,929x = 282,804.18 × 115,505
  4. Step 4: Simplify right side
    204,929x = 32,665,296,810.90
  5. Step 5: Solve for x
    x = 32,665,296,810.90/204,929
  6. Step 6: Final answer
    x = 159,398.12

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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.