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Finding the Fourth Proportional to 55,477.70, 83,119.35 and 45,563.30

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Solution

The fourth proportional to 55,477.70, 83,119.35 and 45,563.30 is: 68,265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,477.70 : 83,119.35 = 45,563.30 : x
  2. Step 2: Convert to fraction form
    55,477.70/83,119.35 = 45,563.30/x
  3. Step 3: Cross multiply
    55,477.70x = 83,119.35 × 45,563.30
  4. Step 4: Simplify right side
    55,477.70x = 3,787,191,879.86
  5. Step 5: Solve for x
    x = 3,787,191,879.86/55,477.70
  6. Step 6: Final answer
    x = 68,265.12

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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.