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Finding the Fourth Proportional to 47,209.77, 70,829.64 and 13,930.00

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Solution

The fourth proportional to 47,209.77, 70,829.64 and 13,930.00 is: 20,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,209.77 : 70,829.64 = 13,930.00 : x
  2. Step 2: Convert to fraction form
    47,209.77/70,829.64 = 13,930.00/x
  3. Step 3: Cross multiply
    47,209.77x = 70,829.64 × 13,930.00
  4. Step 4: Simplify right side
    47,209.77x = 986,656,708.13
  5. Step 5: Solve for x
    x = 986,656,708.13/47,209.77
  6. Step 6: Final answer
    x = 20,899.42

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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.