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Finding the Fourth Proportional to 122,269.46, 183,404.80 and 55,663

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Solution

The fourth proportional to 122,269.46, 183,404.80 and 55,663 is: 83,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,269.46 : 183,404.80 = 55,663 : x
  2. Step 2: Convert to fraction form
    122,269.46/183,404.80 = 55,663/x
  3. Step 3: Cross multiply
    122,269.46x = 183,404.80 × 55,663
  4. Step 4: Simplify right side
    122,269.46x = 10,208,861,382.40
  5. Step 5: Solve for x
    x = 10,208,861,382.40/122,269.46
  6. Step 6: Final answer
    x = 83,494.78

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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.