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Finding the Fourth Proportional to 257,851, 386,786.22 and 80,357.32

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Solution

The fourth proportional to 257,851, 386,786.22 and 80,357.32 is: 120,539.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,851 : 386,786.22 = 80,357.32 : x
  2. Step 2: Convert to fraction form
    257,851/386,786.22 = 80,357.32/x
  3. Step 3: Cross multiply
    257,851x = 386,786.22 × 80,357.32
  4. Step 4: Simplify right side
    257,851x = 31,081,104,052.13
  5. Step 5: Solve for x
    x = 31,081,104,052.13/257,851
  6. Step 6: Final answer
    x = 120,539.01

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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.