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Finding the Fourth Proportional to 131,692.96, 181,734.90 and 71,262.28

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Solution

The fourth proportional to 131,692.96, 181,734.90 and 71,262.28 is: 98,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,692.96 : 181,734.90 = 71,262.28 : x
  2. Step 2: Convert to fraction form
    131,692.96/181,734.90 = 71,262.28/x
  3. Step 3: Cross multiply
    131,692.96x = 181,734.90 × 71,262.28
  4. Step 4: Simplify right side
    131,692.96x = 12,950,843,329.57
  5. Step 5: Solve for x
    x = 12,950,843,329.57/131,692.96
  6. Step 6: Final answer
    x = 98,341.20

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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.