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Finding the Fourth Proportional to 81,813.16, 122,739.50 and 28,497.34

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Solution

The fourth proportional to 81,813.16, 122,739.50 and 28,497.34 is: 42,752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,813.16 : 122,739.50 = 28,497.34 : x
  2. Step 2: Convert to fraction form
    81,813.16/122,739.50 = 28,497.34/x
  3. Step 3: Cross multiply
    81,813.16x = 122,739.50 × 28,497.34
  4. Step 4: Simplify right side
    81,813.16x = 3,497,749,262.93
  5. Step 5: Solve for x
    x = 3,497,749,262.93/81,813.16
  6. Step 6: Final answer
    x = 42,752.89

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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.