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Finding the Fourth Proportional to 115,169.65, 172,364.31 and 70,824.49

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Solution

The fourth proportional to 115,169.65, 172,364.31 and 70,824.49 is: 105,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,169.65 : 172,364.31 = 70,824.49 : x
  2. Step 2: Convert to fraction form
    115,169.65/172,364.31 = 70,824.49/x
  3. Step 3: Cross multiply
    115,169.65x = 172,364.31 × 70,824.49
  4. Step 4: Simplify right side
    115,169.65x = 12,207,614,349.95
  5. Step 5: Solve for x
    x = 12,207,614,349.95/115,169.65
  6. Step 6: Final answer
    x = 105,996.80

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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.