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Finding the Fourth Proportional to 150,128.88, 224,881.32 and 71,305.20

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Solution

The fourth proportional to 150,128.88, 224,881.32 and 71,305.20 is: 106,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,128.88 : 224,881.32 = 71,305.20 : x
  2. Step 2: Convert to fraction form
    150,128.88/224,881.32 = 71,305.20/x
  3. Step 3: Cross multiply
    150,128.88x = 224,881.32 × 71,305.20
  4. Step 4: Simplify right side
    150,128.88x = 16,035,207,498.86
  5. Step 5: Solve for x
    x = 16,035,207,498.86/150,128.88
  6. Step 6: Final answer
    x = 106,809.61

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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.