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Finding the Fourth Proportional to 52,982.64, 79,506.72 and 30,806.40

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Solution

The fourth proportional to 52,982.64, 79,506.72 and 30,806.40 is: 46,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,982.64 : 79,506.72 = 30,806.40 : x
  2. Step 2: Convert to fraction form
    52,982.64/79,506.72 = 30,806.40/x
  3. Step 3: Cross multiply
    52,982.64x = 79,506.72 × 30,806.40
  4. Step 4: Simplify right side
    52,982.64x = 2,449,315,819.01
  5. Step 5: Solve for x
    x = 2,449,315,819.01/52,982.64
  6. Step 6: Final answer
    x = 46,228.65

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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.