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Finding the Fourth Proportional to 100,223.63, 150,363.12 and 89,207.30

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Solution

The fourth proportional to 100,223.63, 150,363.12 and 89,207.30 is: 133,835.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,223.63 : 150,363.12 = 89,207.30 : x
  2. Step 2: Convert to fraction form
    100,223.63/150,363.12 = 89,207.30/x
  3. Step 3: Cross multiply
    100,223.63x = 150,363.12 × 89,207.30
  4. Step 4: Simplify right side
    100,223.63x = 13,413,487,954.78
  5. Step 5: Solve for x
    x = 13,413,487,954.78/100,223.63
  6. Step 6: Final answer
    x = 133,835.58

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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.