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Finding the Fourth Proportional to 89,770.34, 123,883.03 and 49,484.78

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Solution

The fourth proportional to 89,770.34, 123,883.03 and 49,484.78 is: 68,288.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,770.34 : 123,883.03 = 49,484.78 : x
  2. Step 2: Convert to fraction form
    89,770.34/123,883.03 = 49,484.78/x
  3. Step 3: Cross multiply
    89,770.34x = 123,883.03 × 49,484.78
  4. Step 4: Simplify right side
    89,770.34x = 6,130,323,865.87
  5. Step 5: Solve for x
    x = 6,130,323,865.87/89,770.34
  6. Step 6: Final answer
    x = 68,288.97

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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.