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Finding the Fourth Proportional to 194,535.84, 291,798 and 80,672.16

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Solution

The fourth proportional to 194,535.84, 291,798 and 80,672.16 is: 121,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,535.84 : 291,798 = 80,672.16 : x
  2. Step 2: Convert to fraction form
    194,535.84/291,798 = 80,672.16/x
  3. Step 3: Cross multiply
    194,535.84x = 291,798 × 80,672.16
  4. Step 4: Simplify right side
    194,535.84x = 23,539,974,943.68
  5. Step 5: Solve for x
    x = 23,539,974,943.68/194,535.84
  6. Step 6: Final answer
    x = 121,005.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.