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Finding the Fourth Proportional to 81,073, 111,880.74 and 45,745

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Solution

The fourth proportional to 81,073, 111,880.74 and 45,745 is: 63,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,073 : 111,880.74 = 45,745 : x
  2. Step 2: Convert to fraction form
    81,073/111,880.74 = 45,745/x
  3. Step 3: Cross multiply
    81,073x = 111,880.74 × 45,745
  4. Step 4: Simplify right side
    81,073x = 5,117,984,451.30
  5. Step 5: Solve for x
    x = 5,117,984,451.30/81,073
  6. Step 6: Final answer
    x = 63,128.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.