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Finding the Fourth Proportional to 81,803.77, 122,702.14 and 25,642.62

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Solution

The fourth proportional to 81,803.77, 122,702.14 and 25,642.62 is: 38,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,803.77 : 122,702.14 = 25,642.62 : x
  2. Step 2: Convert to fraction form
    81,803.77/122,702.14 = 25,642.62/x
  3. Step 3: Cross multiply
    81,803.77x = 122,702.14 × 25,642.62
  4. Step 4: Simplify right side
    81,803.77x = 3,146,404,349.21
  5. Step 5: Solve for x
    x = 3,146,404,349.21/81,803.77
  6. Step 6: Final answer
    x = 38,462.83

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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.