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Finding the Fourth Proportional to 55,425.42, 83,137.50 and 13,872.42

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Solution

The fourth proportional to 55,425.42, 83,137.50 and 13,872.42 is: 20,808.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,425.42 : 83,137.50 = 13,872.42 : x
  2. Step 2: Convert to fraction form
    55,425.42/83,137.50 = 13,872.42/x
  3. Step 3: Cross multiply
    55,425.42x = 83,137.50 × 13,872.42
  4. Step 4: Simplify right side
    55,425.42x = 1,153,318,317.75
  5. Step 5: Solve for x
    x = 1,153,318,317.75/55,425.42
  6. Step 6: Final answer
    x = 20,808.47

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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.