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Finding the Fourth Proportional to 204,986.20, 307,728.90 and 130,106.20

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Solution

The fourth proportional to 204,986.20, 307,728.90 and 130,106.20 is: 195,317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,986.20 : 307,728.90 = 130,106.20 : x
  2. Step 2: Convert to fraction form
    204,986.20/307,728.90 = 130,106.20/x
  3. Step 3: Cross multiply
    204,986.20x = 307,728.90 × 130,106.20
  4. Step 4: Simplify right side
    204,986.20x = 40,037,437,809.18
  5. Step 5: Solve for x
    x = 40,037,437,809.18/204,986.20
  6. Step 6: Final answer
    x = 195,317.72

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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.