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Finding the Fourth Proportional to 81,503.88, 122,245.43 and 31,549.79

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Solution

The fourth proportional to 81,503.88, 122,245.43 and 31,549.79 is: 47,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,503.88 : 122,245.43 = 31,549.79 : x
  2. Step 2: Convert to fraction form
    81,503.88/122,245.43 = 31,549.79/x
  3. Step 3: Cross multiply
    81,503.88x = 122,245.43 × 31,549.79
  4. Step 4: Simplify right side
    81,503.88x = 3,856,817,792.82
  5. Step 5: Solve for x
    x = 3,856,817,792.82/81,503.88
  6. Step 6: Final answer
    x = 47,320.67

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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.