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Finding the Fourth Proportional to 103,696.16, 155,623.60 and 80,264.48

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Solution

The fourth proportional to 103,696.16, 155,623.60 and 80,264.48 is: 120,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,696.16 : 155,623.60 = 80,264.48 : x
  2. Step 2: Convert to fraction form
    103,696.16/155,623.60 = 80,264.48/x
  3. Step 3: Cross multiply
    103,696.16x = 155,623.60 × 80,264.48
  4. Step 4: Simplify right side
    103,696.16x = 12,491,047,329.73
  5. Step 5: Solve for x
    x = 12,491,047,329.73/103,696.16
  6. Step 6: Final answer
    x = 120,458.15

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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.