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Finding the Fourth Proportional to 144,184.80, 197,529.90 and 138,794.01

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Solution

The fourth proportional to 144,184.80, 197,529.90 and 138,794.01 is: 190,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,184.80 : 197,529.90 = 138,794.01 : x
  2. Step 2: Convert to fraction form
    144,184.80/197,529.90 = 138,794.01/x
  3. Step 3: Cross multiply
    144,184.80x = 197,529.90 × 138,794.01
  4. Step 4: Simplify right side
    144,184.80x = 27,415,965,654.68
  5. Step 5: Solve for x
    x = 27,415,965,654.68/144,184.80
  6. Step 6: Final answer
    x = 190,144.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.