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Finding the Fourth Proportional to 147,965, 204,196.74 and 80,901.32

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Solution

The fourth proportional to 147,965, 204,196.74 and 80,901.32 is: 111,646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,965 : 204,196.74 = 80,901.32 : x
  2. Step 2: Convert to fraction form
    147,965/204,196.74 = 80,901.32/x
  3. Step 3: Cross multiply
    147,965x = 204,196.74 × 80,901.32
  4. Step 4: Simplify right side
    147,965x = 16,519,785,805.70
  5. Step 5: Solve for x
    x = 16,519,785,805.70/147,965
  6. Step 6: Final answer
    x = 111,646.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.