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Finding the Fourth Proportional to 120,894.82, 181,294.74 and 40,910.76

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Solution

The fourth proportional to 120,894.82, 181,294.74 and 40,910.76 is: 61,350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,894.82 : 181,294.74 = 40,910.76 : x
  2. Step 2: Convert to fraction form
    120,894.82/181,294.74 = 40,910.76/x
  3. Step 3: Cross multiply
    120,894.82x = 181,294.74 × 40,910.76
  4. Step 4: Simplify right side
    120,894.82x = 7,416,905,597.40
  5. Step 5: Solve for x
    x = 7,416,905,597.40/120,894.82
  6. Step 6: Final answer
    x = 61,350.07

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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.