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Finding the Fourth Proportional to 47,712.60, 71,641.80 and 36,631.80

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Solution

The fourth proportional to 47,712.60, 71,641.80 and 36,631.80 is: 55,003.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712.60 : 71,641.80 = 36,631.80 : x
  2. Step 2: Convert to fraction form
    47,712.60/71,641.80 = 36,631.80/x
  3. Step 3: Cross multiply
    47,712.60x = 71,641.80 × 36,631.80
  4. Step 4: Simplify right side
    47,712.60x = 2,624,368,089.24
  5. Step 5: Solve for x
    x = 2,624,368,089.24/47,712.60
  6. Step 6: Final answer
    x = 55,003.67

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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.