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Finding the Fourth Proportional to 75,692.22, 103,698.84 and 72,854.61

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Solution

The fourth proportional to 75,692.22, 103,698.84 and 72,854.61 is: 99,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,692.22 : 103,698.84 = 72,854.61 : x
  2. Step 2: Convert to fraction form
    75,692.22/103,698.84 = 72,854.61/x
  3. Step 3: Cross multiply
    75,692.22x = 103,698.84 × 72,854.61
  4. Step 4: Simplify right side
    75,692.22x = 7,554,938,545.65
  5. Step 5: Solve for x
    x = 7,554,938,545.65/75,692.22
  6. Step 6: Final answer
    x = 99,811.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.