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Finding the Fourth Proportional to 106,232.40, 159,348.60 and 76,856.40

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Solution

The fourth proportional to 106,232.40, 159,348.60 and 76,856.40 is: 115,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,232.40 : 159,348.60 = 76,856.40 : x
  2. Step 2: Convert to fraction form
    106,232.40/159,348.60 = 76,856.40/x
  3. Step 3: Cross multiply
    106,232.40x = 159,348.60 × 76,856.40
  4. Step 4: Simplify right side
    106,232.40x = 12,246,959,741.04
  5. Step 5: Solve for x
    x = 12,246,959,741.04/106,232.40
  6. Step 6: Final answer
    x = 115,284.60

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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.