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Finding the Fourth Proportional to 105,565.20, 158,056.20 and 82,237.20

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Solution

The fourth proportional to 105,565.20, 158,056.20 and 82,237.20 is: 123,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,565.20 : 158,056.20 = 82,237.20 : x
  2. Step 2: Convert to fraction form
    105,565.20/158,056.20 = 82,237.20/x
  3. Step 3: Cross multiply
    105,565.20x = 158,056.20 × 82,237.20
  4. Step 4: Simplify right side
    105,565.20x = 12,998,099,330.64
  5. Step 5: Solve for x
    x = 12,998,099,330.64/105,565.20
  6. Step 6: Final answer
    x = 123,128.64

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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.