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Finding the Fourth Proportional to 114,619.20, 172,001.70 and 67,234.20

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Solution

The fourth proportional to 114,619.20, 172,001.70 and 67,234.20 is: 100,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,619.20 : 172,001.70 = 67,234.20 : x
  2. Step 2: Convert to fraction form
    114,619.20/172,001.70 = 67,234.20/x
  3. Step 3: Cross multiply
    114,619.20x = 172,001.70 × 67,234.20
  4. Step 4: Simplify right side
    114,619.20x = 11,564,396,698.14
  5. Step 5: Solve for x
    x = 11,564,396,698.14/114,619.20
  6. Step 6: Final answer
    x = 100,894.06

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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.