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Finding the Fourth Proportional to 43,875.82, 65,823.46 and 20,489.50

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Solution

The fourth proportional to 43,875.82, 65,823.46 and 20,489.50 is: 30,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,875.82 : 65,823.46 = 20,489.50 : x
  2. Step 2: Convert to fraction form
    43,875.82/65,823.46 = 20,489.50/x
  3. Step 3: Cross multiply
    43,875.82x = 65,823.46 × 20,489.50
  4. Step 4: Simplify right side
    43,875.82x = 1,348,689,783.67
  5. Step 5: Solve for x
    x = 1,348,689,783.67/43,875.82
  6. Step 6: Final answer
    x = 30,738.79

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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.