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Finding the Fourth Proportional to 65,578.60, 98,471.58 and 51,789.16

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Solution

The fourth proportional to 65,578.60, 98,471.58 and 51,789.16 is: 77,765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,578.60 : 98,471.58 = 51,789.16 : x
  2. Step 2: Convert to fraction form
    65,578.60/98,471.58 = 51,789.16/x
  3. Step 3: Cross multiply
    65,578.60x = 98,471.58 × 51,789.16
  4. Step 4: Simplify right side
    65,578.60x = 5,099,760,412.07
  5. Step 5: Solve for x
    x = 5,099,760,412.07/65,578.60
  6. Step 6: Final answer
    x = 77,765.62

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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.