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Finding the Fourth Proportional to 205,164.80, 307,228.80 and 134,662.40

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Solution

The fourth proportional to 205,164.80, 307,228.80 and 134,662.40 is: 201,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,164.80 : 307,228.80 = 134,662.40 : x
  2. Step 2: Convert to fraction form
    205,164.80/307,228.80 = 134,662.40/x
  3. Step 3: Cross multiply
    205,164.80x = 307,228.80 × 134,662.40
  4. Step 4: Simplify right side
    205,164.80x = 41,372,167,557.12
  5. Step 5: Solve for x
    x = 41,372,167,557.12/205,164.80
  6. Step 6: Final answer
    x = 201,653.34

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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.