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Finding the Fourth Proportional to 120,859.76, 181,315.32 and 50,698.64

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Solution

The fourth proportional to 120,859.76, 181,315.32 and 50,698.64 is: 76,058.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,859.76 : 181,315.32 = 50,698.64 : x
  2. Step 2: Convert to fraction form
    120,859.76/181,315.32 = 50,698.64/x
  3. Step 3: Cross multiply
    120,859.76x = 181,315.32 × 50,698.64
  4. Step 4: Simplify right side
    120,859.76x = 9,192,440,135.16
  5. Step 5: Solve for x
    x = 9,192,440,135.16/120,859.76
  6. Step 6: Final answer
    x = 76,058.73

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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.