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Finding the Fourth Proportional to 55,771.70, 83,657.55 and 51,278.90

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Solution

The fourth proportional to 55,771.70, 83,657.55 and 51,278.90 is: 76,918.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,771.70 : 83,657.55 = 51,278.90 : x
  2. Step 2: Convert to fraction form
    55,771.70/83,657.55 = 51,278.90/x
  3. Step 3: Cross multiply
    55,771.70x = 83,657.55 × 51,278.90
  4. Step 4: Simplify right side
    55,771.70x = 4,289,867,140.70
  5. Step 5: Solve for x
    x = 4,289,867,140.70/55,771.70
  6. Step 6: Final answer
    x = 76,918.35

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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.