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Finding the Fourth Proportional to 55,805.88, 83,709.80 and 20,292.40

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Solution

The fourth proportional to 55,805.88, 83,709.80 and 20,292.40 is: 30,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,805.88 : 83,709.80 = 20,292.40 : x
  2. Step 2: Convert to fraction form
    55,805.88/83,709.80 = 20,292.40/x
  3. Step 3: Cross multiply
    55,805.88x = 83,709.80 × 20,292.40
  4. Step 4: Simplify right side
    55,805.88x = 1,698,672,745.52
  5. Step 5: Solve for x
    x = 1,698,672,745.52/55,805.88
  6. Step 6: Final answer
    x = 30,438.96

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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.