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Finding the Fourth Proportional to 131,661, 181,692.30 and 72,045

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Solution

The fourth proportional to 131,661, 181,692.30 and 72,045 is: 99,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,661 : 181,692.30 = 72,045 : x
  2. Step 2: Convert to fraction form
    131,661/181,692.30 = 72,045/x
  3. Step 3: Cross multiply
    131,661x = 181,692.30 × 72,045
  4. Step 4: Simplify right side
    131,661x = 13,090,021,753.50
  5. Step 5: Solve for x
    x = 13,090,021,753.50/131,661
  6. Step 6: Final answer
    x = 99,422.17

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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.