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Finding the Fourth Proportional to 203,192.71, 280,542.95 and 126,828.13

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Solution

The fourth proportional to 203,192.71, 280,542.95 and 126,828.13 is: 175,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,192.71 : 280,542.95 = 126,828.13 : x
  2. Step 2: Convert to fraction form
    203,192.71/280,542.95 = 126,828.13/x
  3. Step 3: Cross multiply
    203,192.71x = 280,542.95 × 126,828.13
  4. Step 4: Simplify right side
    203,192.71x = 35,580,737,733.18
  5. Step 5: Solve for x
    x = 35,580,737,733.18/203,192.71
  6. Step 6: Final answer
    x = 175,108.34

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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.