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Finding the Fourth Proportional to 204,889.70, 307,584.15 and 130,009.70

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Solution

The fourth proportional to 204,889.70, 307,584.15 and 130,009.70 is: 195,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,889.70 : 307,584.15 = 130,009.70 : x
  2. Step 2: Convert to fraction form
    204,889.70/307,584.15 = 130,009.70/x
  3. Step 3: Cross multiply
    204,889.70x = 307,584.15 × 130,009.70
  4. Step 4: Simplify right side
    204,889.70x = 39,988,923,066.26
  5. Step 5: Solve for x
    x = 39,988,923,066.26/204,889.70
  6. Step 6: Final answer
    x = 195,172.93

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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.