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Finding the Fourth Proportional to 204,713.10, 307,112.85 and 64,485.90

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Solution

The fourth proportional to 204,713.10, 307,112.85 and 64,485.90 is: 96,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,713.10 : 307,112.85 = 64,485.90 : x
  2. Step 2: Convert to fraction form
    204,713.10/307,112.85 = 64,485.90/x
  3. Step 3: Cross multiply
    204,713.10x = 307,112.85 × 64,485.90
  4. Step 4: Simplify right side
    204,713.10x = 19,804,448,533.82
  5. Step 5: Solve for x
    x = 19,804,448,533.82/204,713.10
  6. Step 6: Final answer
    x = 96,742.46

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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.