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Finding the Fourth Proportional to 79,758.43, 119,692.88 and 31,722.12

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Solution

The fourth proportional to 79,758.43, 119,692.88 and 31,722.12 is: 47,605.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,758.43 : 119,692.88 = 31,722.12 : x
  2. Step 2: Convert to fraction form
    79,758.43/119,692.88 = 31,722.12/x
  3. Step 3: Cross multiply
    79,758.43x = 119,692.88 × 31,722.12
  4. Step 4: Simplify right side
    79,758.43x = 3,796,911,902.51
  5. Step 5: Solve for x
    x = 3,796,911,902.51/79,758.43
  6. Step 6: Final answer
    x = 47,605.15

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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.