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Finding the Fourth Proportional to 203,210.72, 280,567.80 and 126,846.12

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Solution

The fourth proportional to 203,210.72, 280,567.80 and 126,846.12 is: 175,133.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,210.72 : 280,567.80 = 126,846.12 : x
  2. Step 2: Convert to fraction form
    203,210.72/280,567.80 = 126,846.12/x
  3. Step 3: Cross multiply
    203,210.72x = 280,567.80 × 126,846.12
  4. Step 4: Simplify right side
    203,210.72x = 35,588,936,826.94
  5. Step 5: Solve for x
    x = 35,588,936,826.94/203,210.72
  6. Step 6: Final answer
    x = 175,133.17

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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.