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Finding the Fourth Proportional to 144,186.77, 197,532.57 and 138,795.96

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Solution

The fourth proportional to 144,186.77, 197,532.57 and 138,795.96 is: 190,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,186.77 : 197,532.57 = 138,795.96 : x
  2. Step 2: Convert to fraction form
    144,186.77/197,532.57 = 138,795.96/x
  3. Step 3: Cross multiply
    144,186.77x = 197,532.57 × 138,795.96
  4. Step 4: Simplify right side
    144,186.77x = 27,416,722,684.42
  5. Step 5: Solve for x
    x = 27,416,722,684.42/144,186.77
  6. Step 6: Final answer
    x = 190,147.28

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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.