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Finding the Fourth Proportional to 81,356.30, 122,143.80 and 51,904.70

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Solution

The fourth proportional to 81,356.30, 122,143.80 and 51,904.70 is: 77,926.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,356.30 : 122,143.80 = 51,904.70 : x
  2. Step 2: Convert to fraction form
    81,356.30/122,143.80 = 51,904.70/x
  3. Step 3: Cross multiply
    81,356.30x = 122,143.80 × 51,904.70
  4. Step 4: Simplify right side
    81,356.30x = 6,339,837,295.86
  5. Step 5: Solve for x
    x = 6,339,837,295.86/81,356.30
  6. Step 6: Final answer
    x = 77,926.81

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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.