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Finding the Fourth Proportional to 136,874.16, 205,315.56 and 43,380.72

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Solution

The fourth proportional to 136,874.16, 205,315.56 and 43,380.72 is: 65,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,874.16 : 205,315.56 = 43,380.72 : x
  2. Step 2: Convert to fraction form
    136,874.16/205,315.56 = 43,380.72/x
  3. Step 3: Cross multiply
    136,874.16x = 205,315.56 × 43,380.72
  4. Step 4: Simplify right side
    136,874.16x = 8,906,736,820.00
  5. Step 5: Solve for x
    x = 8,906,736,820.00/136,874.16
  6. Step 6: Final answer
    x = 65,072.45

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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.