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Finding the Fourth Proportional to 136,738, 205,204.20 and 53,632

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Solution

The fourth proportional to 136,738, 205,204.20 and 53,632 is: 80,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,738 : 205,204.20 = 53,632 : x
  2. Step 2: Convert to fraction form
    136,738/205,204.20 = 53,632/x
  3. Step 3: Cross multiply
    136,738x = 205,204.20 × 53,632
  4. Step 4: Simplify right side
    136,738x = 11,005,511,654.40
  5. Step 5: Solve for x
    x = 11,005,511,654.40/136,738
  6. Step 6: Final answer
    x = 80,486.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.