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Finding the Fourth Proportional to 131,963.60, 197,815.80 and 117,966.80

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Solution

The fourth proportional to 131,963.60, 197,815.80 and 117,966.80 is: 176,834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,963.60 : 197,815.80 = 117,966.80 : x
  2. Step 2: Convert to fraction form
    131,963.60/197,815.80 = 117,966.80/x
  3. Step 3: Cross multiply
    131,963.60x = 197,815.80 × 117,966.80
  4. Step 4: Simplify right side
    131,963.60x = 23,335,696,915.44
  5. Step 5: Solve for x
    x = 23,335,696,915.44/131,963.60
  6. Step 6: Final answer
    x = 176,834.35

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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.