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Finding the Fourth Proportional to 43,418, 65,081.60 and 20,059.76

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Solution

The fourth proportional to 43,418, 65,081.60 and 20,059.76 is: 30,068.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,418 : 65,081.60 = 20,059.76 : x
  2. Step 2: Convert to fraction form
    43,418/65,081.60 = 20,059.76/x
  3. Step 3: Cross multiply
    43,418x = 65,081.60 × 20,059.76
  4. Step 4: Simplify right side
    43,418x = 1,305,521,276.42
  5. Step 5: Solve for x
    x = 1,305,521,276.42/43,418
  6. Step 6: Final answer
    x = 30,068.66

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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.