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Finding the Fourth Proportional to 201,029.40, 301,106.70 and 122,005.80

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Solution

The fourth proportional to 201,029.40, 301,106.70 and 122,005.80 is: 182,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,029.40 : 301,106.70 = 122,005.80 : x
  2. Step 2: Convert to fraction form
    201,029.40/301,106.70 = 122,005.80/x
  3. Step 3: Cross multiply
    201,029.40x = 301,106.70 × 122,005.80
  4. Step 4: Simplify right side
    201,029.40x = 36,736,763,818.86
  5. Step 5: Solve for x
    x = 36,736,763,818.86/201,029.40
  6. Step 6: Final answer
    x = 182,743.24

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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.