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Finding the Fourth Proportional to 47,615, 71,425.80 and 19,913

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Solution

The fourth proportional to 47,615, 71,425.80 and 19,913 is: 29,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,615 : 71,425.80 = 19,913 : x
  2. Step 2: Convert to fraction form
    47,615/71,425.80 = 19,913/x
  3. Step 3: Cross multiply
    47,615x = 71,425.80 × 19,913
  4. Step 4: Simplify right side
    47,615x = 1,422,301,955.40
  5. Step 5: Solve for x
    x = 1,422,301,955.40/47,615
  6. Step 6: Final answer
    x = 29,870.88

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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.