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Finding the Fourth Proportional to 89,124, 122,991.12 and 53,315.52

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Solution

The fourth proportional to 89,124, 122,991.12 and 53,315.52 is: 73,575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,124 : 122,991.12 = 53,315.52 : x
  2. Step 2: Convert to fraction form
    89,124/122,991.12 = 53,315.52/x
  3. Step 3: Cross multiply
    89,124x = 122,991.12 × 53,315.52
  4. Step 4: Simplify right side
    89,124x = 6,557,335,518.18
  5. Step 5: Solve for x
    x = 6,557,335,518.18/89,124
  6. Step 6: Final answer
    x = 73,575.42

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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.