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Finding the Fourth Proportional to 80,188.50, 120,283.25 and 21,023.64

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Solution

The fourth proportional to 80,188.50, 120,283.25 and 21,023.64 is: 31,535.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,188.50 : 120,283.25 = 21,023.64 : x
  2. Step 2: Convert to fraction form
    80,188.50/120,283.25 = 21,023.64/x
  3. Step 3: Cross multiply
    80,188.50x = 120,283.25 × 21,023.64
  4. Step 4: Simplify right side
    80,188.50x = 2,528,791,746.03
  5. Step 5: Solve for x
    x = 2,528,791,746.03/80,188.50
  6. Step 6: Final answer
    x = 31,535.59

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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.