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Finding the Fourth Proportional to 55,433.88, 83,145 and 13,880.88

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Solution

The fourth proportional to 55,433.88, 83,145 and 13,880.88 is: 20,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,433.88 : 83,145 = 13,880.88 : x
  2. Step 2: Convert to fraction form
    55,433.88/83,145 = 13,880.88/x
  3. Step 3: Cross multiply
    55,433.88x = 83,145 × 13,880.88
  4. Step 4: Simplify right side
    55,433.88x = 1,154,125,767.60
  5. Step 5: Solve for x
    x = 1,154,125,767.60/55,433.88
  6. Step 6: Final answer
    x = 20,819.86

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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.