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Finding the Fourth Proportional to 55,176, 76,142.88 and 30,025.68

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Solution

The fourth proportional to 55,176, 76,142.88 and 30,025.68 is: 41,435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,176 : 76,142.88 = 30,025.68 : x
  2. Step 2: Convert to fraction form
    55,176/76,142.88 = 30,025.68/x
  3. Step 3: Cross multiply
    55,176x = 76,142.88 × 30,025.68
  4. Step 4: Simplify right side
    55,176x = 2,286,241,749.16
  5. Step 5: Solve for x
    x = 2,286,241,749.16/55,176
  6. Step 6: Final answer
    x = 41,435.44

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1.5x scale

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.