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Finding the Fourth Proportional to 105,739.20, 158,317.20 and 82,411.20

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Solution

The fourth proportional to 105,739.20, 158,317.20 and 82,411.20 is: 123,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,739.20 : 158,317.20 = 82,411.20 : x
  2. Step 2: Convert to fraction form
    105,739.20/158,317.20 = 82,411.20/x
  3. Step 3: Cross multiply
    105,739.20x = 158,317.20 × 82,411.20
  4. Step 4: Simplify right side
    105,739.20x = 13,047,110,432.64
  5. Step 5: Solve for x
    x = 13,047,110,432.64/105,739.20
  6. Step 6: Final answer
    x = 123,389.53

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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.