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Finding the Fourth Proportional to 81,586.98, 122,366.70 and 31,659.39

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Solution

The fourth proportional to 81,586.98, 122,366.70 and 31,659.39 is: 47,483.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,586.98 : 122,366.70 = 31,659.39 : x
  2. Step 2: Convert to fraction form
    81,586.98/122,366.70 = 31,659.39/x
  3. Step 3: Cross multiply
    81,586.98x = 122,366.70 × 31,659.39
  4. Step 4: Simplify right side
    81,586.98x = 3,874,055,078.31
  5. Step 5: Solve for x
    x = 3,874,055,078.31/81,586.98
  6. Step 6: Final answer
    x = 47,483.74

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1.5x scale

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.