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Finding the Fourth Proportional to 312,082.82, 468,124.30 and 75,425.47

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Solution

The fourth proportional to 312,082.82, 468,124.30 and 75,425.47 is: 113,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,082.82 : 468,124.30 = 75,425.47 : x
  2. Step 2: Convert to fraction form
    312,082.82/468,124.30 = 75,425.47/x
  3. Step 3: Cross multiply
    312,082.82x = 468,124.30 × 75,425.47
  4. Step 4: Simplify right side
    312,082.82x = 35,308,495,345.92
  5. Step 5: Solve for x
    x = 35,308,495,345.92/312,082.82
  6. Step 6: Final answer
    x = 113,138.22

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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.