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Finding the Fourth Proportional to 203,058, 280,213.02 and 112,417.92

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Solution

The fourth proportional to 203,058, 280,213.02 and 112,417.92 is: 155,132.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,058 : 280,213.02 = 112,417.92 : x
  2. Step 2: Convert to fraction form
    203,058/280,213.02 = 112,417.92/x
  3. Step 3: Cross multiply
    203,058x = 280,213.02 × 112,417.92
  4. Step 4: Simplify right side
    203,058x = 31,500,964,865.32
  5. Step 5: Solve for x
    x = 31,500,964,865.32/203,058
  6. Step 6: Final answer
    x = 155,132.84

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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.