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Finding the Fourth Proportional to 82,358.20, 123,537.30 and 76,526.20

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Solution

The fourth proportional to 82,358.20, 123,537.30 and 76,526.20 is: 114,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,358.20 : 123,537.30 = 76,526.20 : x
  2. Step 2: Convert to fraction form
    82,358.20/123,537.30 = 76,526.20/x
  3. Step 3: Cross multiply
    82,358.20x = 123,537.30 × 76,526.20
  4. Step 4: Simplify right side
    82,358.20x = 9,453,840,127.26
  5. Step 5: Solve for x
    x = 9,453,840,127.26/82,358.20
  6. Step 6: Final answer
    x = 114,789.30

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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.