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Finding the Fourth Proportional to 203,092.96, 280,271.76 and 111,220.32

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Solution

The fourth proportional to 203,092.96, 280,271.76 and 111,220.32 is: 153,485.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,092.96 : 280,271.76 = 111,220.32 : x
  2. Step 2: Convert to fraction form
    203,092.96/280,271.76 = 111,220.32/x
  3. Step 3: Cross multiply
    203,092.96x = 280,271.76 × 111,220.32
  4. Step 4: Simplify right side
    203,092.96x = 31,171,914,834.16
  5. Step 5: Solve for x
    x = 31,171,914,834.16/203,092.96
  6. Step 6: Final answer
    x = 153,485.94

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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.