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Finding the Fourth Proportional to 120,978.54, 181,469.49 and 46,102.76

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Solution

The fourth proportional to 120,978.54, 181,469.49 and 46,102.76 is: 69,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,978.54 : 181,469.49 = 46,102.76 : x
  2. Step 2: Convert to fraction form
    120,978.54/181,469.49 = 46,102.76/x
  3. Step 3: Cross multiply
    120,978.54x = 181,469.49 × 46,102.76
  4. Step 4: Simplify right side
    120,978.54x = 8,366,243,437.44
  5. Step 5: Solve for x
    x = 8,366,243,437.44/120,978.54
  6. Step 6: Final answer
    x = 69,154.77

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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.