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Finding the Fourth Proportional to 76,579.96, 114,856.98 and 21,163

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Solution

The fourth proportional to 76,579.96, 114,856.98 and 21,163 is: 31,740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,579.96 : 114,856.98 = 21,163 : x
  2. Step 2: Convert to fraction form
    76,579.96/114,856.98 = 21,163/x
  3. Step 3: Cross multiply
    76,579.96x = 114,856.98 × 21,163
  4. Step 4: Simplify right side
    76,579.96x = 2,430,718,267.74
  5. Step 5: Solve for x
    x = 2,430,718,267.74/76,579.96
  6. Step 6: Final answer
    x = 31,740.92

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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.