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Finding the Fourth Proportional to 342,074.53, 513,210.21 and 105,450.85

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Solution

The fourth proportional to 342,074.53, 513,210.21 and 105,450.85 is: 158,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,074.53 : 513,210.21 = 105,450.85 : x
  2. Step 2: Convert to fraction form
    342,074.53/513,210.21 = 105,450.85/x
  3. Step 3: Cross multiply
    342,074.53x = 513,210.21 × 105,450.85
  4. Step 4: Simplify right side
    342,074.53x = 54,118,452,873.18
  5. Step 5: Solve for x
    x = 54,118,452,873.18/342,074.53
  6. Step 6: Final answer
    x = 158,206.61

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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.