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Finding the Fourth Proportional to 83,814, 125,728.56 and 21,485.04

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Solution

The fourth proportional to 83,814, 125,728.56 and 21,485.04 is: 32,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,814 : 125,728.56 = 21,485.04 : x
  2. Step 2: Convert to fraction form
    83,814/125,728.56 = 21,485.04/x
  3. Step 3: Cross multiply
    83,814x = 125,728.56 × 21,485.04
  4. Step 4: Simplify right side
    83,814x = 2,701,283,140.74
  5. Step 5: Solve for x
    x = 2,701,283,140.74/83,814
  6. Step 6: Final answer
    x = 32,229.50

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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.