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Finding the Fourth Proportional to 136,465, 204,614.12 and 65,409.38

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Solution

The fourth proportional to 136,465, 204,614.12 and 65,409.38 is: 98,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,465 : 204,614.12 = 65,409.38 : x
  2. Step 2: Convert to fraction form
    136,465/204,614.12 = 65,409.38/x
  3. Step 3: Cross multiply
    136,465x = 204,614.12 × 65,409.38
  4. Step 4: Simplify right side
    136,465x = 13,383,682,728.45
  5. Step 5: Solve for x
    x = 13,383,682,728.45/136,465
  6. Step 6: Final answer
    x = 98,074.10

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Why These Related Problems?

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