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Finding the Fourth Proportional to 102,496.68, 141,446.52 and 57,178.53

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Solution

The fourth proportional to 102,496.68, 141,446.52 and 57,178.53 is: 78,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,496.68 : 141,446.52 = 57,178.53 : x
  2. Step 2: Convert to fraction form
    102,496.68/141,446.52 = 57,178.53/x
  3. Step 3: Cross multiply
    102,496.68x = 141,446.52 × 57,178.53
  4. Step 4: Simplify right side
    102,496.68x = 8,087,704,087.22
  5. Step 5: Solve for x
    x = 8,087,704,087.22/102,496.68
  6. Step 6: Final answer
    x = 78,906.99

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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.