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Finding the Fourth Proportional to 76,492.89, 114,735.69 and 29,118.87

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Solution

The fourth proportional to 76,492.89, 114,735.69 and 29,118.87 is: 43,676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,492.89 : 114,735.69 = 29,118.87 : x
  2. Step 2: Convert to fraction form
    76,492.89/114,735.69 = 29,118.87/x
  3. Step 3: Cross multiply
    76,492.89x = 114,735.69 × 29,118.87
  4. Step 4: Simplify right side
    76,492.89x = 3,340,973,641.47
  5. Step 5: Solve for x
    x = 3,340,973,641.47/76,492.89
  6. Step 6: Final answer
    x = 43,676.92

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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.