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Finding the Fourth Proportional to 500,189.70, 750,286.43 and 121,109.82

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Solution

The fourth proportional to 500,189.70, 750,286.43 and 121,109.82 is: 181,665.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,189.70 : 750,286.43 = 121,109.82 : x
  2. Step 2: Convert to fraction form
    500,189.70/750,286.43 = 121,109.82/x
  3. Step 3: Cross multiply
    500,189.70x = 750,286.43 × 121,109.82
  4. Step 4: Simplify right side
    500,189.70x = 90,867,053,880.19
  5. Step 5: Solve for x
    x = 90,867,053,880.19/500,189.70
  6. Step 6: Final answer
    x = 181,665.18

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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.