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Finding the Fourth Proportional to 150,063.90, 225,159 and 65,780.54

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Solution

The fourth proportional to 150,063.90, 225,159 and 65,780.54 is: 98,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,063.90 : 225,159 = 65,780.54 : x
  2. Step 2: Convert to fraction form
    150,063.90/225,159 = 65,780.54/x
  3. Step 3: Cross multiply
    150,063.90x = 225,159 × 65,780.54
  4. Step 4: Simplify right side
    150,063.90x = 14,811,080,605.86
  5. Step 5: Solve for x
    x = 14,811,080,605.86/150,063.90
  6. Step 6: Final answer
    x = 98,698.49

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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.