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Finding the Fourth Proportional to 89,099.77, 122,957.64 and 53,289.78

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Solution

The fourth proportional to 89,099.77, 122,957.64 and 53,289.78 is: 73,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,099.77 : 122,957.64 = 53,289.78 : x
  2. Step 2: Convert to fraction form
    89,099.77/122,957.64 = 53,289.78/x
  3. Step 3: Cross multiply
    89,099.77x = 122,957.64 × 53,289.78
  4. Step 4: Simplify right side
    89,099.77x = 6,552,385,584.92
  5. Step 5: Solve for x
    x = 6,552,385,584.92/89,099.77
  6. Step 6: Final answer
    x = 73,539.87

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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.