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Finding the Fourth Proportional to 209,880.50, 314,865.57 and 67,733.87

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Solution

The fourth proportional to 209,880.50, 314,865.57 and 67,733.87 is: 101,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,880.50 : 314,865.57 = 67,733.87 : x
  2. Step 2: Convert to fraction form
    209,880.50/314,865.57 = 67,733.87/x
  3. Step 3: Cross multiply
    209,880.50x = 314,865.57 × 67,733.87
  4. Step 4: Simplify right side
    209,880.50x = 21,327,062,011.53
  5. Step 5: Solve for x
    x = 21,327,062,011.53/209,880.50
  6. Step 6: Final answer
    x = 101,615.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.