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Finding the Fourth Proportional to 209,494.84, 314,051.64 and 76,344.76

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Solution

The fourth proportional to 209,494.84, 314,051.64 and 76,344.76 is: 114,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,494.84 : 314,051.64 = 76,344.76 : x
  2. Step 2: Convert to fraction form
    209,494.84/314,051.64 = 76,344.76/x
  3. Step 3: Cross multiply
    209,494.84x = 314,051.64 × 76,344.76
  4. Step 4: Simplify right side
    209,494.84x = 23,976,197,083.41
  5. Step 5: Solve for x
    x = 23,976,197,083.41/209,494.84
  6. Step 6: Final answer
    x = 114,447.67

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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.