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Finding the Fourth Proportional to 144,020.56, 198,692.94 and 90,211.90

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Solution

The fourth proportional to 144,020.56, 198,692.94 and 90,211.90 is: 124,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,020.56 : 198,692.94 = 90,211.90 : x
  2. Step 2: Convert to fraction form
    144,020.56/198,692.94 = 90,211.90/x
  3. Step 3: Cross multiply
    144,020.56x = 198,692.94 × 90,211.90
  4. Step 4: Simplify right side
    144,020.56x = 17,924,467,633.99
  5. Step 5: Solve for x
    x = 17,924,467,633.99/144,020.56
  6. Step 6: Final answer
    x = 124,457.70

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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.