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Finding the Fourth Proportional to 65,930.96, 90,979.31 and 37,253.12

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Solution

The fourth proportional to 65,930.96, 90,979.31 and 37,253.12 is: 51,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,930.96 : 90,979.31 = 37,253.12 : x
  2. Step 2: Convert to fraction form
    65,930.96/90,979.31 = 37,253.12/x
  3. Step 3: Cross multiply
    65,930.96x = 90,979.31 × 37,253.12
  4. Step 4: Simplify right side
    65,930.96x = 3,389,262,511.79
  5. Step 5: Solve for x
    x = 3,389,262,511.79/65,930.96
  6. Step 6: Final answer
    x = 51,406.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.