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Finding the Fourth Proportional to 289,936.02, 434,729.26 and 129,983

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Solution

The fourth proportional to 289,936.02, 434,729.26 and 129,983 is: 194,896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,936.02 : 434,729.26 = 129,983 : x
  2. Step 2: Convert to fraction form
    289,936.02/434,729.26 = 129,983/x
  3. Step 3: Cross multiply
    289,936.02x = 434,729.26 × 129,983
  4. Step 4: Simplify right side
    289,936.02x = 56,507,412,752.67
  5. Step 5: Solve for x
    x = 56,507,412,752.67/289,936.02
  6. Step 6: Final answer
    x = 194,896.15

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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.