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Finding the Fourth Proportional to 109,696.40, 164,544.60 and 101,142.80

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Solution

The fourth proportional to 109,696.40, 164,544.60 and 101,142.80 is: 151,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,696.40 : 164,544.60 = 101,142.80 : x
  2. Step 2: Convert to fraction form
    109,696.40/164,544.60 = 101,142.80/x
  3. Step 3: Cross multiply
    109,696.40x = 164,544.60 × 101,142.80
  4. Step 4: Simplify right side
    109,696.40x = 16,642,501,568.88
  5. Step 5: Solve for x
    x = 16,642,501,568.88/109,696.40
  6. Step 6: Final answer
    x = 151,714.20

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1.5x scale

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.