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Finding the Fourth Proportional to 51,195.96, 76,748.76 and 20,009.40

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Solution

The fourth proportional to 51,195.96, 76,748.76 and 20,009.40 is: 29,996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,195.96 : 76,748.76 = 20,009.40 : x
  2. Step 2: Convert to fraction form
    51,195.96/76,748.76 = 20,009.40/x
  3. Step 3: Cross multiply
    51,195.96x = 76,748.76 × 20,009.40
  4. Step 4: Simplify right side
    51,195.96x = 1,535,696,638.34
  5. Step 5: Solve for x
    x = 1,535,696,638.34/51,195.96
  6. Step 6: Final answer
    x = 29,996.44

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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.