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Finding the Fourth Proportional to 135,204.84, 202,305.06 and 85,050.72

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Solution

The fourth proportional to 135,204.84, 202,305.06 and 85,050.72 is: 127,260.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,204.84 : 202,305.06 = 85,050.72 : x
  2. Step 2: Convert to fraction form
    135,204.84/202,305.06 = 85,050.72/x
  3. Step 3: Cross multiply
    135,204.84x = 202,305.06 × 85,050.72
  4. Step 4: Simplify right side
    135,204.84x = 17,206,191,012.64
  5. Step 5: Solve for x
    x = 17,206,191,012.64/135,204.84
  6. Step 6: Final answer
    x = 127,260.17

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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.