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Finding the Fourth Proportional to 65,419.77, 90,281.47 and 36,744.48

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Solution

The fourth proportional to 65,419.77, 90,281.47 and 36,744.48 is: 50,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,419.77 : 90,281.47 = 36,744.48 : x
  2. Step 2: Convert to fraction form
    65,419.77/90,281.47 = 36,744.48/x
  3. Step 3: Cross multiply
    65,419.77x = 90,281.47 × 36,744.48
  4. Step 4: Simplify right side
    65,419.77x = 3,317,345,668.79
  5. Step 5: Solve for x
    x = 3,317,345,668.79/65,419.77
  6. Step 6: Final answer
    x = 50,708.61

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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.