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Finding the Fourth Proportional to 149,881.60, 224,786.40 and 86,564.80

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Solution

The fourth proportional to 149,881.60, 224,786.40 and 86,564.80 is: 129,826.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,881.60 : 224,786.40 = 86,564.80 : x
  2. Step 2: Convert to fraction form
    149,881.60/224,786.40 = 86,564.80/x
  3. Step 3: Cross multiply
    149,881.60x = 224,786.40 × 86,564.80
  4. Step 4: Simplify right side
    149,881.60x = 19,458,589,758.72
  5. Step 5: Solve for x
    x = 19,458,589,758.72/149,881.60
  6. Step 6: Final answer
    x = 129,826.41

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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.