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Finding the Fourth Proportional to 47,097.76, 70,473.12 and 28,388.80

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Solution

The fourth proportional to 47,097.76, 70,473.12 and 28,388.80 is: 42,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,097.76 : 70,473.12 = 28,388.80 : x
  2. Step 2: Convert to fraction form
    47,097.76/70,473.12 = 28,388.80/x
  3. Step 3: Cross multiply
    47,097.76x = 70,473.12 × 28,388.80
  4. Step 4: Simplify right side
    47,097.76x = 2,000,647,309.06
  5. Step 5: Solve for x
    x = 2,000,647,309.06/47,097.76
  6. Step 6: Final answer
    x = 42,478.61

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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.