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Finding the Fourth Proportional to 55,517, 83,269.38 and 13,964

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Solution

The fourth proportional to 55,517, 83,269.38 and 13,964 is: 20,944.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,517 : 83,269.38 = 13,964 : x
  2. Step 2: Convert to fraction form
    55,517/83,269.38 = 13,964/x
  3. Step 3: Cross multiply
    55,517x = 83,269.38 × 13,964
  4. Step 4: Simplify right side
    55,517x = 1,162,773,622.32
  5. Step 5: Solve for x
    x = 1,162,773,622.32/55,517
  6. Step 6: Final answer
    x = 20,944.46

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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.