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Finding the Fourth Proportional to 81,690.73, 122,543.64 and 31,774.61

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Solution

The fourth proportional to 81,690.73, 122,543.64 and 31,774.61 is: 47,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,690.73 : 122,543.64 = 31,774.61 : x
  2. Step 2: Convert to fraction form
    81,690.73/122,543.64 = 31,774.61/x
  3. Step 3: Cross multiply
    81,690.73x = 122,543.64 × 31,774.61
  4. Step 4: Simplify right side
    81,690.73x = 3,893,776,368.98
  5. Step 5: Solve for x
    x = 3,893,776,368.98/81,690.73
  6. Step 6: Final answer
    x = 47,664.85

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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.