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Finding the Fourth Proportional to 72,866.84, 109,241.32 and 30,719.68

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Solution

The fourth proportional to 72,866.84, 109,241.32 and 30,719.68 is: 46,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,866.84 : 109,241.32 = 30,719.68 : x
  2. Step 2: Convert to fraction form
    72,866.84/109,241.32 = 30,719.68/x
  3. Step 3: Cross multiply
    72,866.84x = 109,241.32 × 30,719.68
  4. Step 4: Simplify right side
    72,866.84x = 3,355,858,393.18
  5. Step 5: Solve for x
    x = 3,355,858,393.18/72,866.84
  6. Step 6: Final answer
    x = 46,054.67

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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.