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Finding the Fourth Proportional to 312,191.87, 468,287.81 and 75,534.54

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Solution

The fourth proportional to 312,191.87, 468,287.81 and 75,534.54 is: 113,301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,191.87 : 468,287.81 = 75,534.54 : x
  2. Step 2: Convert to fraction form
    312,191.87/468,287.81 = 75,534.54/x
  3. Step 3: Cross multiply
    312,191.87x = 468,287.81 × 75,534.54
  4. Step 4: Simplify right side
    312,191.87x = 35,371,902,465.46
  5. Step 5: Solve for x
    x = 35,371,902,465.46/312,191.87
  6. Step 6: Final answer
    x = 113,301.81

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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.