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Finding the Fourth Proportional to 65,164, 89,926.42 and 36,869.08

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Solution

The fourth proportional to 65,164, 89,926.42 and 36,869.08 is: 50,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,164 : 89,926.42 = 36,869.08 : x
  2. Step 2: Convert to fraction form
    65,164/89,926.42 = 36,869.08/x
  3. Step 3: Cross multiply
    65,164x = 89,926.42 × 36,869.08
  4. Step 4: Simplify right side
    65,164x = 3,315,504,373.09
  5. Step 5: Solve for x
    x = 3,315,504,373.09/65,164
  6. Step 6: Final answer
    x = 50,879.39

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1.5x scale

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.