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Finding the Fourth Proportional to 45,547, 68,355.78 and 31,604.92

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Solution

The fourth proportional to 45,547, 68,355.78 and 31,604.92 is: 47,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,547 : 68,355.78 = 31,604.92 : x
  2. Step 2: Convert to fraction form
    45,547/68,355.78 = 31,604.92/x
  3. Step 3: Cross multiply
    45,547x = 68,355.78 × 31,604.92
  4. Step 4: Simplify right side
    45,547x = 2,160,378,958.44
  5. Step 5: Solve for x
    x = 2,160,378,958.44/45,547
  6. Step 6: Final answer
    x = 47,431.86

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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.