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Finding the Fourth Proportional to 420,673.80, 631,012.32 and 105,131.04

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Solution

The fourth proportional to 420,673.80, 631,012.32 and 105,131.04 is: 157,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,673.80 : 631,012.32 = 105,131.04 : x
  2. Step 2: Convert to fraction form
    420,673.80/631,012.32 = 105,131.04/x
  3. Step 3: Cross multiply
    420,673.80x = 631,012.32 × 105,131.04
  4. Step 4: Simplify right side
    420,673.80x = 66,338,981,454.41
  5. Step 5: Solve for x
    x = 66,338,981,454.41/420,673.80
  6. Step 6: Final answer
    x = 157,696.96

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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.