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Finding the Fourth Proportional to 189,972.48, 285,475.68 and 101,288.64

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Solution

The fourth proportional to 189,972.48, 285,475.68 and 101,288.64 is: 152,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,972.48 : 285,475.68 = 101,288.64 : x
  2. Step 2: Convert to fraction form
    189,972.48/285,475.68 = 101,288.64/x
  3. Step 3: Cross multiply
    189,972.48x = 285,475.68 × 101,288.64
  4. Step 4: Simplify right side
    189,972.48x = 28,915,443,380.28
  5. Step 5: Solve for x
    x = 28,915,443,380.28/189,972.48
  6. Step 6: Final answer
    x = 152,208.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.