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Finding the Fourth Proportional to 47,104.48, 70,656.72 and 20,836

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Solution

The fourth proportional to 47,104.48, 70,656.72 and 20,836 is: 31,254

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,104.48 : 70,656.72 = 20,836 : x
  2. Step 2: Convert to fraction form
    47,104.48/70,656.72 = 20,836/x
  3. Step 3: Cross multiply
    47,104.48x = 70,656.72 × 20,836
  4. Step 4: Simplify right side
    47,104.48x = 1,472,203,417.92
  5. Step 5: Solve for x
    x = 1,472,203,417.92/47,104.48
  6. Step 6: Final answer
    x = 31,254

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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.