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Finding the Fourth Proportional to 209,963.25, 314,946.03 and 52,191.71

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Solution

The fourth proportional to 209,963.25, 314,946.03 and 52,191.71 is: 78,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,963.25 : 314,946.03 = 52,191.71 : x
  2. Step 2: Convert to fraction form
    209,963.25/314,946.03 = 52,191.71/x
  3. Step 3: Cross multiply
    209,963.25x = 314,946.03 × 52,191.71
  4. Step 4: Simplify right side
    209,963.25x = 16,437,571,863.41
  5. Step 5: Solve for x
    x = 16,437,571,863.41/209,963.25
  6. Step 6: Final answer
    x = 78,287.85

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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.