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Finding the Fourth Proportional to 321,078.72, 481,713.12 and 110,737.92

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Solution

The fourth proportional to 321,078.72, 481,713.12 and 110,737.92 is: 166,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,078.72 : 481,713.12 = 110,737.92 : x
  2. Step 2: Convert to fraction form
    321,078.72/481,713.12 = 110,737.92/x
  3. Step 3: Cross multiply
    321,078.72x = 481,713.12 × 110,737.92
  4. Step 4: Simplify right side
    321,078.72x = 53,343,908,945.51
  5. Step 5: Solve for x
    x = 53,343,908,945.51/321,078.72
  6. Step 6: Final answer
    x = 166,139.66

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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.