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Finding the Fourth Proportional to 130,020.40, 194,641.80 and 122,330.80

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Solution

The fourth proportional to 130,020.40, 194,641.80 and 122,330.80 is: 183,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,020.40 : 194,641.80 = 122,330.80 : x
  2. Step 2: Convert to fraction form
    130,020.40/194,641.80 = 122,330.80/x
  3. Step 3: Cross multiply
    130,020.40x = 194,641.80 × 122,330.80
  4. Step 4: Simplify right side
    130,020.40x = 23,810,687,107.44
  5. Step 5: Solve for x
    x = 23,810,687,107.44/130,020.40
  6. Step 6: Final answer
    x = 183,130.39

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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.