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Finding the Fourth Proportional to 82,426.70, 113,716.65 and 53,780.06

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Solution

The fourth proportional to 82,426.70, 113,716.65 and 53,780.06 is: 74,195.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,426.70 : 113,716.65 = 53,780.06 : x
  2. Step 2: Convert to fraction form
    82,426.70/113,716.65 = 53,780.06/x
  3. Step 3: Cross multiply
    82,426.70x = 113,716.65 × 53,780.06
  4. Step 4: Simplify right side
    82,426.70x = 6,115,688,260.00
  5. Step 5: Solve for x
    x = 6,115,688,260.00/82,426.70
  6. Step 6: Final answer
    x = 74,195.48

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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.