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Finding the Fourth Proportional to 76,856.54, 115,307.09 and 31,869.54

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Solution

The fourth proportional to 76,856.54, 115,307.09 and 31,869.54 is: 47,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,856.54 : 115,307.09 = 31,869.54 : x
  2. Step 2: Convert to fraction form
    76,856.54/115,307.09 = 31,869.54/x
  3. Step 3: Cross multiply
    76,856.54x = 115,307.09 × 31,869.54
  4. Step 4: Simplify right side
    76,856.54x = 3,674,783,757.69
  5. Step 5: Solve for x
    x = 3,674,783,757.69/76,856.54
  6. Step 6: Final answer
    x = 47,813.55

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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.