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Finding the Fourth Proportional to 192,100, 265,106.64 and 107,217.76

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Solution

The fourth proportional to 192,100, 265,106.64 and 107,217.76 is: 147,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,100 : 265,106.64 = 107,217.76 : x
  2. Step 2: Convert to fraction form
    192,100/265,106.64 = 107,217.76/x
  3. Step 3: Cross multiply
    192,100x = 265,106.64 × 107,217.76
  4. Step 4: Simplify right side
    192,100x = 28,424,140,101.93
  5. Step 5: Solve for x
    x = 28,424,140,101.93/192,100
  6. Step 6: Final answer
    x = 147,965.33

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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.