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Finding the Fourth Proportional to 51,717, 77,590.61 and 18,439.76

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Solution

The fourth proportional to 51,717, 77,590.61 and 18,439.76 is: 27,665.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,717 : 77,590.61 = 18,439.76 : x
  2. Step 2: Convert to fraction form
    51,717/77,590.61 = 18,439.76/x
  3. Step 3: Cross multiply
    51,717x = 77,590.61 × 18,439.76
  4. Step 4: Simplify right side
    51,717x = 1,430,751,746.50
  5. Step 5: Solve for x
    x = 1,430,751,746.50/51,717
  6. Step 6: Final answer
    x = 27,665.02

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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.