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Finding the Fourth Proportional to 55,280, 76,286.33 and 30,129.50

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Solution

The fourth proportional to 55,280, 76,286.33 and 30,129.50 is: 41,578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,280 : 76,286.33 = 30,129.50 : x
  2. Step 2: Convert to fraction form
    55,280/76,286.33 = 30,129.50/x
  3. Step 3: Cross multiply
    55,280x = 76,286.33 × 30,129.50
  4. Step 4: Simplify right side
    55,280x = 2,298,468,979.74
  5. Step 5: Solve for x
    x = 2,298,468,979.74/55,280
  6. Step 6: Final answer
    x = 41,578.67

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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.