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Finding the Fourth Proportional to 83,236.68, 114,869.38 and 47,428.20

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Solution

The fourth proportional to 83,236.68, 114,869.38 and 47,428.20 is: 65,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,236.68 : 114,869.38 = 47,428.20 : x
  2. Step 2: Convert to fraction form
    83,236.68/114,869.38 = 47,428.20/x
  3. Step 3: Cross multiply
    83,236.68x = 114,869.38 × 47,428.20
  4. Step 4: Simplify right side
    83,236.68x = 5,448,047,928.52
  5. Step 5: Solve for x
    x = 5,448,047,928.52/83,236.68
  6. Step 6: Final answer
    x = 65,452.49

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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.