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Finding the Fourth Proportional to 203,030.28, 280,211.79 and 116,972.86

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Solution

The fourth proportional to 203,030.28, 280,211.79 and 116,972.86 is: 161,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,030.28 : 280,211.79 = 116,972.86 : x
  2. Step 2: Convert to fraction form
    203,030.28/280,211.79 = 116,972.86/x
  3. Step 3: Cross multiply
    203,030.28x = 280,211.79 × 116,972.86
  4. Step 4: Simplify right side
    203,030.28x = 32,777,174,482.02
  5. Step 5: Solve for x
    x = 32,777,174,482.02/203,030.28
  6. Step 6: Final answer
    x = 161,439.83

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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.