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Finding the Fourth Proportional to 122,490.92, 183,563.76 and 97,419.80

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Solution

The fourth proportional to 122,490.92, 183,563.76 and 97,419.80 is: 145,992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,490.92 : 183,563.76 = 97,419.80 : x
  2. Step 2: Convert to fraction form
    122,490.92/183,563.76 = 97,419.80/x
  3. Step 3: Cross multiply
    122,490.92x = 183,563.76 × 97,419.80
  4. Step 4: Simplify right side
    122,490.92x = 17,882,744,786.45
  5. Step 5: Solve for x
    x = 17,882,744,786.45/122,490.92
  6. Step 6: Final answer
    x = 145,992.41

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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.