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Finding the Fourth Proportional to 83,059.76, 124,589 and 20,729.84

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Solution

The fourth proportional to 83,059.76, 124,589 and 20,729.84 is: 31,094.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,059.76 : 124,589 = 20,729.84 : x
  2. Step 2: Convert to fraction form
    83,059.76/124,589 = 20,729.84/x
  3. Step 3: Cross multiply
    83,059.76x = 124,589 × 20,729.84
  4. Step 4: Simplify right side
    83,059.76x = 2,582,710,035.76
  5. Step 5: Solve for x
    x = 2,582,710,035.76/83,059.76
  6. Step 6: Final answer
    x = 31,094.60

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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.