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Finding the Fourth Proportional to 122,692.95, 169,244.10 and 77,290.83

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Solution

The fourth proportional to 122,692.95, 169,244.10 and 77,290.83 is: 106,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,692.95 : 169,244.10 = 77,290.83 : x
  2. Step 2: Convert to fraction form
    122,692.95/169,244.10 = 77,290.83/x
  3. Step 3: Cross multiply
    122,692.95x = 169,244.10 × 77,290.83
  4. Step 4: Simplify right side
    122,692.95x = 13,081,016,961.60
  5. Step 5: Solve for x
    x = 13,081,016,961.60/122,692.95
  6. Step 6: Final answer
    x = 106,615.88

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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.