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Finding the Fourth Proportional to 203,427.56, 280,738.88 and 112,777.76

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Solution

The fourth proportional to 203,427.56, 280,738.88 and 112,777.76 is: 155,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,427.56 : 280,738.88 = 112,777.76 : x
  2. Step 2: Convert to fraction form
    203,427.56/280,738.88 = 112,777.76/x
  3. Step 3: Cross multiply
    203,427.56x = 280,738.88 × 112,777.76
  4. Step 4: Simplify right side
    203,427.56x = 31,661,102,031.31
  5. Step 5: Solve for x
    x = 31,661,102,031.31/203,427.56
  6. Step 6: Final answer
    x = 155,638.21

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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.