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Finding the Fourth Proportional to 47,139.65, 70,709.44 and 13,859.99

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Solution

The fourth proportional to 47,139.65, 70,709.44 and 13,859.99 is: 20,789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,139.65 : 70,709.44 = 13,859.99 : x
  2. Step 2: Convert to fraction form
    47,139.65/70,709.44 = 13,859.99/x
  3. Step 3: Cross multiply
    47,139.65x = 70,709.44 × 13,859.99
  4. Step 4: Simplify right side
    47,139.65x = 980,031,777.76
  5. Step 5: Solve for x
    x = 980,031,777.76/47,139.65
  6. Step 6: Final answer
    x = 20,789.97

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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.