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Finding the Fourth Proportional to 89,102, 122,960.76 and 49,365.68

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Solution

The fourth proportional to 89,102, 122,960.76 and 49,365.68 is: 68,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,102 : 122,960.76 = 49,365.68 : x
  2. Step 2: Convert to fraction form
    89,102/122,960.76 = 49,365.68/x
  3. Step 3: Cross multiply
    89,102x = 122,960.76 × 49,365.68
  4. Step 4: Simplify right side
    89,102x = 6,070,041,530.72
  5. Step 5: Solve for x
    x = 6,070,041,530.72/89,102
  6. Step 6: Final answer
    x = 68,124.64

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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.