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Finding the Fourth Proportional to 30,676.80, 46,015.20 and 29,812.80

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Solution

The fourth proportional to 30,676.80, 46,015.20 and 29,812.80 is: 44,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.80 : 46,015.20 = 29,812.80 : x
  2. Step 2: Convert to fraction form
    30,676.80/46,015.20 = 29,812.80/x
  3. Step 3: Cross multiply
    30,676.80x = 46,015.20 × 29,812.80
  4. Step 4: Simplify right side
    30,676.80x = 1,371,841,954.56
  5. Step 5: Solve for x
    x = 1,371,841,954.56/30,676.80
  6. Step 6: Final answer
    x = 44,719.20

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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.