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Finding the Fourth Proportional to 35,120.50, 48,466.29 and 20,216.50

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Solution

The fourth proportional to 35,120.50, 48,466.29 and 20,216.50 is: 27,898.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,120.50 : 48,466.29 = 20,216.50 : x
  2. Step 2: Convert to fraction form
    35,120.50/48,466.29 = 20,216.50/x
  3. Step 3: Cross multiply
    35,120.50x = 48,466.29 × 20,216.50
  4. Step 4: Simplify right side
    35,120.50x = 979,818,751.79
  5. Step 5: Solve for x
    x = 979,818,751.79/35,120.50
  6. Step 6: Final answer
    x = 27,898.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.