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Finding the Fourth Proportional to 137,830.65, 206,692.44 and 53,579.67

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Solution

The fourth proportional to 137,830.65, 206,692.44 and 53,579.67 is: 80,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,830.65 : 206,692.44 = 53,579.67 : x
  2. Step 2: Convert to fraction form
    137,830.65/206,692.44 = 53,579.67/x
  3. Step 3: Cross multiply
    137,830.65x = 206,692.44 × 53,579.67
  4. Step 4: Simplify right side
    137,830.65x = 11,074,512,726.69
  5. Step 5: Solve for x
    x = 11,074,512,726.69/137,830.65
  6. Step 6: Final answer
    x = 80,348.69

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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.