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Finding the Fourth Proportional to 71,800.40, 107,830.20 and 52,101.20

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Solution

The fourth proportional to 71,800.40, 107,830.20 and 52,101.20 is: 78,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,800.40 : 107,830.20 = 52,101.20 : x
  2. Step 2: Convert to fraction form
    71,800.40/107,830.20 = 52,101.20/x
  3. Step 3: Cross multiply
    71,800.40x = 107,830.20 × 52,101.20
  4. Step 4: Simplify right side
    71,800.40x = 5,618,082,816.24
  5. Step 5: Solve for x
    x = 5,618,082,816.24/71,800.40
  6. Step 6: Final answer
    x = 78,245.84

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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.