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Finding the Fourth Proportional to 136,692.96, 188,637.84 and 77,076.96

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Solution

The fourth proportional to 136,692.96, 188,637.84 and 77,076.96 is: 106,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,692.96 : 188,637.84 = 77,076.96 : x
  2. Step 2: Convert to fraction form
    136,692.96/188,637.84 = 77,076.96/x
  3. Step 3: Cross multiply
    136,692.96x = 188,637.84 × 77,076.96
  4. Step 4: Simplify right side
    136,692.96x = 14,539,631,248.17
  5. Step 5: Solve for x
    x = 14,539,631,248.17/136,692.96
  6. Step 6: Final answer
    x = 106,367.08

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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.