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Finding the Fourth Proportional to 89,929.20, 134,893.80 and 54,937.20

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Solution

The fourth proportional to 89,929.20, 134,893.80 and 54,937.20 is: 82,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,929.20 : 134,893.80 = 54,937.20 : x
  2. Step 2: Convert to fraction form
    89,929.20/134,893.80 = 54,937.20/x
  3. Step 3: Cross multiply
    89,929.20x = 134,893.80 × 54,937.20
  4. Step 4: Simplify right side
    89,929.20x = 7,410,687,669.36
  5. Step 5: Solve for x
    x = 7,410,687,669.36/89,929.20
  6. Step 6: Final answer
    x = 82,405.80

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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.