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Finding the Fourth Proportional to 81,818.40, 122,792.40 and 31,922.40

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Solution

The fourth proportional to 81,818.40, 122,792.40 and 31,922.40 is: 47,908.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,818.40 : 122,792.40 = 31,922.40 : x
  2. Step 2: Convert to fraction form
    81,818.40/122,792.40 = 31,922.40/x
  3. Step 3: Cross multiply
    81,818.40x = 122,792.40 × 31,922.40
  4. Step 4: Simplify right side
    81,818.40x = 3,919,828,109.76
  5. Step 5: Solve for x
    x = 3,919,828,109.76/81,818.40
  6. Step 6: Final answer
    x = 47,908.88

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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.