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Finding the Fourth Proportional to 312,030.07, 468,045.11 and 75,372.75

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Solution

The fourth proportional to 312,030.07, 468,045.11 and 75,372.75 is: 113,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,030.07 : 468,045.11 = 75,372.75 : x
  2. Step 2: Convert to fraction form
    312,030.07/468,045.11 = 75,372.75/x
  3. Step 3: Cross multiply
    312,030.07x = 468,045.11 × 75,372.75
  4. Step 4: Simplify right side
    312,030.07x = 35,277,848,234.87
  5. Step 5: Solve for x
    x = 35,277,848,234.87/312,030.07
  6. Step 6: Final answer
    x = 113,059.13

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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.