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Finding the Fourth Proportional to 203,029.27, 280,210.41 and 116,971.86

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Solution

The fourth proportional to 203,029.27, 280,210.41 and 116,971.86 is: 161,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,029.27 : 280,210.41 = 116,971.86 : x
  2. Step 2: Convert to fraction form
    203,029.27/280,210.41 = 116,971.86/x
  3. Step 3: Cross multiply
    203,029.27x = 280,210.41 × 116,971.86
  4. Step 4: Simplify right side
    203,029.27x = 32,776,732,849.06
  5. Step 5: Solve for x
    x = 32,776,732,849.06/203,029.27
  6. Step 6: Final answer
    x = 161,438.46

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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.