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Finding the Fourth Proportional to 52,078.56, 78,120 and 15,142.56

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Solution

The fourth proportional to 52,078.56, 78,120 and 15,142.56 is: 22,714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,078.56 : 78,120 = 15,142.56 : x
  2. Step 2: Convert to fraction form
    52,078.56/78,120 = 15,142.56/x
  3. Step 3: Cross multiply
    52,078.56x = 78,120 × 15,142.56
  4. Step 4: Simplify right side
    52,078.56x = 1,182,936,787.20
  5. Step 5: Solve for x
    x = 1,182,936,787.20/52,078.56
  6. Step 6: Final answer
    x = 22,714.47

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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.