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Finding the Fourth Proportional to 262,055.96, 393,083.70 and 82,142.68

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Solution

The fourth proportional to 262,055.96, 393,083.70 and 82,142.68 is: 123,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,055.96 : 393,083.70 = 82,142.68 : x
  2. Step 2: Convert to fraction form
    262,055.96/393,083.70 = 82,142.68/x
  3. Step 3: Cross multiply
    262,055.96x = 393,083.70 × 82,142.68
  4. Step 4: Simplify right side
    262,055.96x = 32,288,948,582.32
  5. Step 5: Solve for x
    x = 32,288,948,582.32/262,055.96
  6. Step 6: Final answer
    x = 123,213.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.