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Finding the Fourth Proportional to 120,638.70, 181,152.45 and 81,369.90

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Solution

The fourth proportional to 120,638.70, 181,152.45 and 81,369.90 is: 122,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,638.70 : 181,152.45 = 81,369.90 : x
  2. Step 2: Convert to fraction form
    120,638.70/181,152.45 = 81,369.90/x
  3. Step 3: Cross multiply
    120,638.70x = 181,152.45 × 81,369.90
  4. Step 4: Simplify right side
    120,638.70x = 14,740,356,741.26
  5. Step 5: Solve for x
    x = 14,740,356,741.26/120,638.70
  6. Step 6: Final answer
    x = 122,185.97

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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.