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Finding the Fourth Proportional to 150,365.82, 225,478.10 and 87,203.90

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Solution

The fourth proportional to 150,365.82, 225,478.10 and 87,203.90 is: 130,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,365.82 : 225,478.10 = 87,203.90 : x
  2. Step 2: Convert to fraction form
    150,365.82/225,478.10 = 87,203.90/x
  3. Step 3: Cross multiply
    150,365.82x = 225,478.10 × 87,203.90
  4. Step 4: Simplify right side
    150,365.82x = 19,662,569,684.59
  5. Step 5: Solve for x
    x = 19,662,569,684.59/150,365.82
  6. Step 6: Final answer
    x = 130,764.89

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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.