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Finding the Fourth Proportional to 120,855.86, 181,130.43 and 68,294.78

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Solution

The fourth proportional to 120,855.86, 181,130.43 and 68,294.78 is: 102,355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,855.86 : 181,130.43 = 68,294.78 : x
  2. Step 2: Convert to fraction form
    120,855.86/181,130.43 = 68,294.78/x
  3. Step 3: Cross multiply
    120,855.86x = 181,130.43 × 68,294.78
  4. Step 4: Simplify right side
    120,855.86x = 12,370,262,868.16
  5. Step 5: Solve for x
    x = 12,370,262,868.16/120,855.86
  6. Step 6: Final answer
    x = 102,355.51

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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.