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Finding the Fourth Proportional to 72,976.60, 109,463.82 and 39,688.84

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Solution

The fourth proportional to 72,976.60, 109,463.82 and 39,688.84 is: 59,532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,976.60 : 109,463.82 = 39,688.84 : x
  2. Step 2: Convert to fraction form
    72,976.60/109,463.82 = 39,688.84/x
  3. Step 3: Cross multiply
    72,976.60x = 109,463.82 × 39,688.84
  4. Step 4: Simplify right side
    72,976.60x = 4,344,492,037.77
  5. Step 5: Solve for x
    x = 4,344,492,037.77/72,976.60
  6. Step 6: Final answer
    x = 59,532.67

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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.