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Finding the Fourth Proportional to 87,013.44, 120,100.32 and 53,460

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Solution

The fourth proportional to 87,013.44, 120,100.32 and 53,460 is: 73,788.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,013.44 : 120,100.32 = 53,460 : x
  2. Step 2: Convert to fraction form
    87,013.44/120,100.32 = 53,460/x
  3. Step 3: Cross multiply
    87,013.44x = 120,100.32 × 53,460
  4. Step 4: Simplify right side
    87,013.44x = 6,420,563,107.20
  5. Step 5: Solve for x
    x = 6,420,563,107.20/87,013.44
  6. Step 6: Final answer
    x = 73,788.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.