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Finding the Fourth Proportional to 76,808.80, 115,286.10 and 47,284.30

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Solution

The fourth proportional to 76,808.80, 115,286.10 and 47,284.30 is: 70,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,808.80 : 115,286.10 = 47,284.30 : x
  2. Step 2: Convert to fraction form
    76,808.80/115,286.10 = 47,284.30/x
  3. Step 3: Cross multiply
    76,808.80x = 115,286.10 × 47,284.30
  4. Step 4: Simplify right side
    76,808.80x = 5,451,222,538.23
  5. Step 5: Solve for x
    x = 5,451,222,538.23/76,808.80
  6. Step 6: Final answer
    x = 70,971.33

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1.5x scale

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.