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Finding the Fourth Proportional to 55,335.12, 82,978.20 and 15,883.08

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Solution

The fourth proportional to 55,335.12, 82,978.20 and 15,883.08 is: 23,817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,335.12 : 82,978.20 = 15,883.08 : x
  2. Step 2: Convert to fraction form
    55,335.12/82,978.20 = 15,883.08/x
  3. Step 3: Cross multiply
    55,335.12x = 82,978.20 × 15,883.08
  4. Step 4: Simplify right side
    55,335.12x = 1,317,949,388.86
  5. Step 5: Solve for x
    x = 1,317,949,388.86/55,335.12
  6. Step 6: Final answer
    x = 23,817.59

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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.