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Finding the Fourth Proportional to 147,903.06, 204,106.23 and 80,835.06

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Solution

The fourth proportional to 147,903.06, 204,106.23 and 80,835.06 is: 111,552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,903.06 : 204,106.23 = 80,835.06 : x
  2. Step 2: Convert to fraction form
    147,903.06/204,106.23 = 80,835.06/x
  3. Step 3: Cross multiply
    147,903.06x = 204,106.23 × 80,835.06
  4. Step 4: Simplify right side
    147,903.06x = 16,498,939,348.42
  5. Step 5: Solve for x
    x = 16,498,939,348.42/147,903.06
  6. Step 6: Final answer
    x = 111,552.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.