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Finding the Fourth Proportional to 204,908.30, 307,362.45 and 57,164.30

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Solution

The fourth proportional to 204,908.30, 307,362.45 and 57,164.30 is: 85,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,908.30 : 307,362.45 = 57,164.30 : x
  2. Step 2: Convert to fraction form
    204,908.30/307,362.45 = 57,164.30/x
  3. Step 3: Cross multiply
    204,908.30x = 307,362.45 × 57,164.30
  4. Step 4: Simplify right side
    204,908.30x = 17,570,159,300.54
  5. Step 5: Solve for x
    x = 17,570,159,300.54/204,908.30
  6. Step 6: Final answer
    x = 85,746.45

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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.