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Finding the Fourth Proportional to 209,753.39, 314,904.48 and 124,519.85

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Solution

The fourth proportional to 209,753.39, 314,904.48 and 124,519.85 is: 186,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,753.39 : 314,904.48 = 124,519.85 : x
  2. Step 2: Convert to fraction form
    209,753.39/314,904.48 = 124,519.85/x
  3. Step 3: Cross multiply
    209,753.39x = 314,904.48 × 124,519.85
  4. Step 4: Simplify right side
    209,753.39x = 39,211,857,039.41
  5. Step 5: Solve for x
    x = 39,211,857,039.41/209,753.39
  6. Step 6: Final answer
    x = 186,942.67

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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.