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Finding the Fourth Proportional to 202,542.54, 279,114.03 and 145,846.86

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Solution

The fourth proportional to 202,542.54, 279,114.03 and 145,846.86 is: 200,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,542.54 : 279,114.03 = 145,846.86 : x
  2. Step 2: Convert to fraction form
    202,542.54/279,114.03 = 145,846.86/x
  3. Step 3: Cross multiply
    202,542.54x = 279,114.03 × 145,846.86
  4. Step 4: Simplify right side
    202,542.54x = 40,707,904,857.45
  5. Step 5: Solve for x
    x = 40,707,904,857.45/202,542.54
  6. Step 6: Final answer
    x = 200,984.47

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1.5x scale

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.