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Finding the Fourth Proportional to 105,819.70, 146,035.38 and 58,074.76

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Solution

The fourth proportional to 105,819.70, 146,035.38 and 58,074.76 is: 80,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,819.70 : 146,035.38 = 58,074.76 : x
  2. Step 2: Convert to fraction form
    105,819.70/146,035.38 = 58,074.76/x
  3. Step 3: Cross multiply
    105,819.70x = 146,035.38 × 58,074.76
  4. Step 4: Simplify right side
    105,819.70x = 8,480,969,645.01
  5. Step 5: Solve for x
    x = 8,480,969,645.01/105,819.70
  6. Step 6: Final answer
    x = 80,145.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.