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Finding the Fourth Proportional to 120,786, 181,211.13 and 41,900.10

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Solution

The fourth proportional to 120,786, 181,211.13 and 41,900.10 is: 62,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,786 : 181,211.13 = 41,900.10 : x
  2. Step 2: Convert to fraction form
    120,786/181,211.13 = 41,900.10/x
  3. Step 3: Cross multiply
    120,786x = 181,211.13 × 41,900.10
  4. Step 4: Simplify right side
    120,786x = 7,592,764,468.11
  5. Step 5: Solve for x
    x = 7,592,764,468.11/120,786
  6. Step 6: Final answer
    x = 62,861.30

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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.