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Finding the Fourth Proportional to 205,884.25, 284,121.25 and 115,242.01

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Solution

The fourth proportional to 205,884.25, 284,121.25 and 115,242.01 is: 159,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,884.25 : 284,121.25 = 115,242.01 : x
  2. Step 2: Convert to fraction form
    205,884.25/284,121.25 = 115,242.01/x
  3. Step 3: Cross multiply
    205,884.25x = 284,121.25 × 115,242.01
  4. Step 4: Simplify right side
    205,884.25x = 32,742,702,935.30
  5. Step 5: Solve for x
    x = 32,742,702,935.30/205,884.25
  6. Step 6: Final answer
    x = 159,034.52

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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.