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Finding the Fourth Proportional to 144,951.37, 200,034.54 and 80,421.80

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Solution

The fourth proportional to 144,951.37, 200,034.54 and 80,421.80 is: 110,982.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,951.37 : 200,034.54 = 80,421.80 : x
  2. Step 2: Convert to fraction form
    144,951.37/200,034.54 = 80,421.80/x
  3. Step 3: Cross multiply
    144,951.37x = 200,034.54 × 80,421.80
  4. Step 4: Simplify right side
    144,951.37x = 16,087,136,768.80
  5. Step 5: Solve for x
    x = 16,087,136,768.80/144,951.37
  6. Step 6: Final answer
    x = 110,982.99

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1.5x scale

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.