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Finding the Fourth Proportional to 47,803.80, 71,738.10 and 31,123.20

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Solution

The fourth proportional to 47,803.80, 71,738.10 and 31,123.20 is: 46,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,803.80 : 71,738.10 = 31,123.20 : x
  2. Step 2: Convert to fraction form
    47,803.80/71,738.10 = 31,123.20/x
  3. Step 3: Cross multiply
    47,803.80x = 71,738.10 × 31,123.20
  4. Step 4: Simplify right side
    47,803.80x = 2,232,719,233.92
  5. Step 5: Solve for x
    x = 2,232,719,233.92/47,803.80
  6. Step 6: Final answer
    x = 46,705.89

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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.