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Finding the Fourth Proportional to 105,200.46, 145,080.47 and 82,233.32

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Solution

The fourth proportional to 105,200.46, 145,080.47 and 82,233.32 is: 113,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,200.46 : 145,080.47 = 82,233.32 : x
  2. Step 2: Convert to fraction form
    105,200.46/145,080.47 = 82,233.32/x
  3. Step 3: Cross multiply
    105,200.46x = 145,080.47 × 82,233.32
  4. Step 4: Simplify right side
    105,200.46x = 11,930,448,715.26
  5. Step 5: Solve for x
    x = 11,930,448,715.26/105,200.46
  6. Step 6: Final answer
    x = 113,406.81

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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.