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Finding the Fourth Proportional to 51,165.96, 76,703.76 and 19,979.40

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Solution

The fourth proportional to 51,165.96, 76,703.76 and 19,979.40 is: 29,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,165.96 : 76,703.76 = 19,979.40 : x
  2. Step 2: Convert to fraction form
    51,165.96/76,703.76 = 19,979.40/x
  3. Step 3: Cross multiply
    51,165.96x = 76,703.76 × 19,979.40
  4. Step 4: Simplify right side
    51,165.96x = 1,532,495,102.54
  5. Step 5: Solve for x
    x = 1,532,495,102.54/51,165.96
  6. Step 6: Final answer
    x = 29,951.46

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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.