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Finding the Fourth Proportional to 120,666.78, 181,000.77 and 49,628.16

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Solution

The fourth proportional to 120,666.78, 181,000.77 and 49,628.16 is: 74,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,666.78 : 181,000.77 = 49,628.16 : x
  2. Step 2: Convert to fraction form
    120,666.78/181,000.77 = 49,628.16/x
  3. Step 3: Cross multiply
    120,666.78x = 181,000.77 × 49,628.16
  4. Step 4: Simplify right side
    120,666.78x = 8,982,734,268.68
  5. Step 5: Solve for x
    x = 8,982,734,268.68/120,666.78
  6. Step 6: Final answer
    x = 74,442.48

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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.