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Finding the Fourth Proportional to 47,208.80, 70,796.88 and 20,931.92

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Solution

The fourth proportional to 47,208.80, 70,796.88 and 20,931.92 is: 31,390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,208.80 : 70,796.88 = 20,931.92 : x
  2. Step 2: Convert to fraction form
    47,208.80/70,796.88 = 20,931.92/x
  3. Step 3: Cross multiply
    47,208.80x = 70,796.88 × 20,931.92
  4. Step 4: Simplify right side
    47,208.80x = 1,481,914,628.41
  5. Step 5: Solve for x
    x = 1,481,914,628.41/47,208.80
  6. Step 6: Final answer
    x = 31,390.64

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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.