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Finding the Fourth Proportional to 65,268, 90,073.49 and 36,982.80

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Solution

The fourth proportional to 65,268, 90,073.49 and 36,982.80 is: 51,038.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,268 : 90,073.49 = 36,982.80 : x
  2. Step 2: Convert to fraction form
    65,268/90,073.49 = 36,982.80/x
  3. Step 3: Cross multiply
    65,268x = 90,073.49 × 36,982.80
  4. Step 4: Simplify right side
    65,268x = 3,331,169,681.06
  5. Step 5: Solve for x
    x = 3,331,169,681.06/65,268
  6. Step 6: Final answer
    x = 51,038.33

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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.