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Finding the Fourth Proportional to 148,692.14, 205,189.65 and 80,707.65

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Solution

The fourth proportional to 148,692.14, 205,189.65 and 80,707.65 is: 111,373.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,692.14 : 205,189.65 = 80,707.65 : x
  2. Step 2: Convert to fraction form
    148,692.14/205,189.65 = 80,707.65/x
  3. Step 3: Cross multiply
    148,692.14x = 205,189.65 × 80,707.65
  4. Step 4: Simplify right side
    148,692.14x = 16,560,374,455.82
  5. Step 5: Solve for x
    x = 16,560,374,455.82/148,692.14
  6. Step 6: Final answer
    x = 111,373.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.