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Finding the Fourth Proportional to 50,459.90, 75,698.75 and 20,861.15

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Solution

The fourth proportional to 50,459.90, 75,698.75 and 20,861.15 is: 31,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,459.90 : 75,698.75 = 20,861.15 : x
  2. Step 2: Convert to fraction form
    50,459.90/75,698.75 = 20,861.15/x
  3. Step 3: Cross multiply
    50,459.90x = 75,698.75 × 20,861.15
  4. Step 4: Simplify right side
    50,459.90x = 1,579,162,652.22
  5. Step 5: Solve for x
    x = 1,579,162,652.22/50,459.90
  6. Step 6: Final answer
    x = 31,295.40

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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.