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Finding the Fourth Proportional to 82,896.90, 124,330.95 and 30,279.30

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Solution

The fourth proportional to 82,896.90, 124,330.95 and 30,279.30 is: 45,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,896.90 : 124,330.95 = 30,279.30 : x
  2. Step 2: Convert to fraction form
    82,896.90/124,330.95 = 30,279.30/x
  3. Step 3: Cross multiply
    82,896.90x = 124,330.95 × 30,279.30
  4. Step 4: Simplify right side
    82,896.90x = 3,764,654,134.34
  5. Step 5: Solve for x
    x = 3,764,654,134.34/82,896.90
  6. Step 6: Final answer
    x = 45,413.69

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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.