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Finding the Fourth Proportional to 209,963.75, 314,946.78 and 52,192.21

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Solution

The fourth proportional to 209,963.75, 314,946.78 and 52,192.21 is: 78,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,963.75 : 314,946.78 = 52,192.21 : x
  2. Step 2: Convert to fraction form
    209,963.75/314,946.78 = 52,192.21/x
  3. Step 3: Cross multiply
    209,963.75x = 314,946.78 × 52,192.21
  4. Step 4: Simplify right side
    209,963.75x = 16,437,768,480.58
  5. Step 5: Solve for x
    x = 16,437,768,480.58/209,963.75
  6. Step 6: Final answer
    x = 78,288.60

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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.