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Finding the Fourth Proportional to 53,212, 79,764.10 and 34,503.90

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Solution

The fourth proportional to 53,212, 79,764.10 and 34,503.90 is: 51,720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,212 : 79,764.10 = 34,503.90 : x
  2. Step 2: Convert to fraction form
    53,212/79,764.10 = 34,503.90/x
  3. Step 3: Cross multiply
    53,212x = 79,764.10 × 34,503.90
  4. Step 4: Simplify right side
    53,212x = 2,752,172,529.99
  5. Step 5: Solve for x
    x = 2,752,172,529.99/53,212
  6. Step 6: Final answer
    x = 51,720.90

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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.