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Finding the Fourth Proportional to 36,082.80, 53,978.40 and 31,206.60

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Solution

The fourth proportional to 36,082.80, 53,978.40 and 31,206.60 is: 46,683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,082.80 : 53,978.40 = 31,206.60 : x
  2. Step 2: Convert to fraction form
    36,082.80/53,978.40 = 31,206.60/x
  3. Step 3: Cross multiply
    36,082.80x = 53,978.40 × 31,206.60
  4. Step 4: Simplify right side
    36,082.80x = 1,684,482,337.44
  5. Step 5: Solve for x
    x = 1,684,482,337.44/36,082.80
  6. Step 6: Final answer
    x = 46,683.80

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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.