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Finding the Fourth Proportional to 65,036, 89,749.68 and 35,228

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Solution

The fourth proportional to 65,036, 89,749.68 and 35,228 is: 48,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,036 : 89,749.68 = 35,228 : x
  2. Step 2: Convert to fraction form
    65,036/89,749.68 = 35,228/x
  3. Step 3: Cross multiply
    65,036x = 89,749.68 × 35,228
  4. Step 4: Simplify right side
    65,036x = 3,161,701,727.04
  5. Step 5: Solve for x
    x = 3,161,701,727.04/65,036
  6. Step 6: Final answer
    x = 48,614.64

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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.