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Finding the Fourth Proportional to 47,100.48, 70,650.72 and 20,832

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Solution

The fourth proportional to 47,100.48, 70,650.72 and 20,832 is: 31,248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,100.48 : 70,650.72 = 20,832 : x
  2. Step 2: Convert to fraction form
    47,100.48/70,650.72 = 20,832/x
  3. Step 3: Cross multiply
    47,100.48x = 70,650.72 × 20,832
  4. Step 4: Simplify right side
    47,100.48x = 1,471,795,799.04
  5. Step 5: Solve for x
    x = 1,471,795,799.04/47,100.48
  6. Step 6: Final answer
    x = 31,248.00

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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.