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Finding the Fourth Proportional to 71,730.24, 107,601.60 and 19,140

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Solution

The fourth proportional to 71,730.24, 107,601.60 and 19,140 is: 28,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,730.24 : 107,601.60 = 19,140 : x
  2. Step 2: Convert to fraction form
    71,730.24/107,601.60 = 19,140/x
  3. Step 3: Cross multiply
    71,730.24x = 107,601.60 × 19,140
  4. Step 4: Simplify right side
    71,730.24x = 2,059,494,624
  5. Step 5: Solve for x
    x = 2,059,494,624/71,730.24
  6. Step 6: Final answer
    x = 28,711.67

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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.