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Finding the Fourth Proportional to 47,000, 70,501.92 and 11,940.56

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Solution

The fourth proportional to 47,000, 70,501.92 and 11,940.56 is: 17,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,000 : 70,501.92 = 11,940.56 : x
  2. Step 2: Convert to fraction form
    47,000/70,501.92 = 11,940.56/x
  3. Step 3: Cross multiply
    47,000x = 70,501.92 × 11,940.56
  4. Step 4: Simplify right side
    47,000x = 841,832,405.88
  5. Step 5: Solve for x
    x = 841,832,405.88/47,000
  6. Step 6: Final answer
    x = 17,911.33

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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.