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Finding the Fourth Proportional to 104,958.78, 144,838.80 and 57,211.08

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Solution

The fourth proportional to 104,958.78, 144,838.80 and 57,211.08 is: 78,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,958.78 : 144,838.80 = 57,211.08 : x
  2. Step 2: Convert to fraction form
    104,958.78/144,838.80 = 57,211.08/x
  3. Step 3: Cross multiply
    104,958.78x = 144,838.80 × 57,211.08
  4. Step 4: Simplify right side
    104,958.78x = 8,286,384,173.90
  5. Step 5: Solve for x
    x = 8,286,384,173.90/104,958.78
  6. Step 6: Final answer
    x = 78,948.94

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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.