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Finding the Fourth Proportional to 82,833.60, 123,958.80 and 75,835.20

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Solution

The fourth proportional to 82,833.60, 123,958.80 and 75,835.20 is: 113,485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,833.60 : 123,958.80 = 75,835.20 : x
  2. Step 2: Convert to fraction form
    82,833.60/123,958.80 = 75,835.20/x
  3. Step 3: Cross multiply
    82,833.60x = 123,958.80 × 75,835.20
  4. Step 4: Simplify right side
    82,833.60x = 9,400,440,389.76
  5. Step 5: Solve for x
    x = 9,400,440,389.76/82,833.60
  6. Step 6: Final answer
    x = 113,485.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.