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Finding the Fourth Proportional to 47,156.99, 70,735.37 and 13,877.01

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Solution

The fourth proportional to 47,156.99, 70,735.37 and 13,877.01 is: 20,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,156.99 : 70,735.37 = 13,877.01 : x
  2. Step 2: Convert to fraction form
    47,156.99/70,735.37 = 13,877.01/x
  3. Step 3: Cross multiply
    47,156.99x = 70,735.37 × 13,877.01
  4. Step 4: Simplify right side
    47,156.99x = 981,595,367.46
  5. Step 5: Solve for x
    x = 981,595,367.46/47,156.99
  6. Step 6: Final answer
    x = 20,815.48

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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.