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Finding the Fourth Proportional to 52,806.40, 79,206.72 and 17,742.40

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Solution

The fourth proportional to 52,806.40, 79,206.72 and 17,742.40 is: 26,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,806.40 : 79,206.72 = 17,742.40 : x
  2. Step 2: Convert to fraction form
    52,806.40/79,206.72 = 17,742.40/x
  3. Step 3: Cross multiply
    52,806.40x = 79,206.72 × 17,742.40
  4. Step 4: Simplify right side
    52,806.40x = 1,405,317,308.93
  5. Step 5: Solve for x
    x = 1,405,317,308.93/52,806.40
  6. Step 6: Final answer
    x = 26,612.63

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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.