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Finding the Fourth Proportional to 209,156.63, 313,784.15 and 68,915.25

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Solution

The fourth proportional to 209,156.63, 313,784.15 and 68,915.25 is: 103,389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,156.63 : 313,784.15 = 68,915.25 : x
  2. Step 2: Convert to fraction form
    209,156.63/313,784.15 = 68,915.25/x
  3. Step 3: Cross multiply
    209,156.63x = 313,784.15 × 68,915.25
  4. Step 4: Simplify right side
    209,156.63x = 21,624,513,143.29
  5. Step 5: Solve for x
    x = 21,624,513,143.29/209,156.63
  6. Step 6: Final answer
    x = 103,389.09

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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.