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Finding the Fourth Proportional to 259,334.92, 389,002.44 and 81,855.76

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Solution

The fourth proportional to 259,334.92, 389,002.44 and 81,855.76 is: 122,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,334.92 : 389,002.44 = 81,855.76 : x
  2. Step 2: Convert to fraction form
    259,334.92/389,002.44 = 81,855.76/x
  3. Step 3: Cross multiply
    259,334.92x = 389,002.44 × 81,855.76
  4. Step 4: Simplify right side
    259,334.92x = 31,842,090,368.05
  5. Step 5: Solve for x
    x = 31,842,090,368.05/259,334.92
  6. Step 6: Final answer
    x = 122,783.66

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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.